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Numbers n such that the number formed by the digits of 2n sorted in ascending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in ascending order.
(history; published version)
#8 by N. J. A. Sloane at Fri Dec 15 17:36:19 EST 2017
AUTHOR

_Jason Earls (zevi_35711(AT)yahoo.com), _, Jun 11 2003

Discussion
Fri Dec 15
17:36
OEIS Server: https://oeis.org/edit/global/2722
#7 by Jon E. Schoenfield at Sun Aug 16 21:54:25 EDT 2015
STATUS

editing

approved

#6 by Jon E. Schoenfield at Sun Aug 16 21:54:23 EDT 2015
COMMENTS

Primes with certain digits and various combinations of those digits along with any amount number of zeros inserted are members. E.g. , primes of the form 425(0_z)71, or 71+17*2^n*5^(n+2) for n>1 and primes of the form 25(0_z)741 or 741+2^n*5^(n+2) for n>2 etc. are in this sequence.

STATUS

approved

editing

#5 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
COMMENTS

Primes with certain digits and various combinations of those digits along with any amount of zeros inserted are members. E.g. primes of the form 425(0_z)71, or 71+17*2^n*5^(n+2) for n>1, and primes of the form 25(0_z)741 or 741+2^n*5^(n+2) for n>2 etc. are in this sequence.

KEYWORD

base,nonn,new

#4 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009
KEYWORD

base,nonn,new

AUTHOR

Jason Earls (jcearlszevi_35711(AT)cableoneyahoo.netcom), Jun 11 2003

#3 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004
KEYWORD

base,nonn,new

AUTHOR

Jason Earls (jcearls(AT)4grccableone.comnet), Jun 11 2003

#2 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004
NAME

Numbers n such that the number formed by the digits of 2n sorted in ascending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in ascending order.

KEYWORD

base,nonn,new

AUTHOR

Jason Earls (jcearls(AT)kskc4grc.netcom), Jun 11 2003

#1 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003
NAME

n such that the number formed by the digits of 2n sorted in ascending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in ascending order.

DATA

6, 28, 487, 4204, 17208, 20044, 20404, 25741, 34687, 36847, 41257, 42004, 42571, 48673, 51427, 97398, 125407, 140439, 140527, 200404, 204004, 207541, 250741, 254071, 257401, 304687, 304867, 368047, 402004, 407521, 410257, 425071, 425107

OFFSET

1,1

COMMENTS

Primes with certain digits and various combinations of those digits along with any amount of zeros inserted are members. E.g. primes of the form 425(0_z)71, or 71+17*2^n*5^(n+2) for n>1, and primes of the form 25(0_z)741 or 741+2^n*5^(n+2) for n>2 etc. are in this sequence.

EXAMPLE

a(4)=4204 because the digits of 2*4204 sorted ascending are 488; the divisors of 4204 are [1, 2, 4, 1051, 2102, 4204] and 1+2+4+115+122+244 = 488.

KEYWORD

base,nonn

AUTHOR

Jason Earls (jcearls(AT)kskc.net), Jun 11 2003

STATUS

approved