

A152088


Positive integers k that when written in binary have exactly the same number of (nonleading) 0's as the number of divisors of k.


1



19, 33, 34, 43, 49, 53, 69, 74, 79, 82, 103, 107, 109, 141, 142, 166, 177, 178, 201, 202, 209, 226, 261, 268, 292, 295, 299, 301, 302, 309, 314, 327, 334, 339, 341, 346, 355, 358, 362, 367, 379, 388, 391, 395, 398, 403, 422, 431, 439, 443, 451, 453, 454, 458
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OFFSET

1,1


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


EXAMPLE

34 written in binary is 100010, which has four 0's. Also, 34 has 4 divisors (1,2,17,34). Since the number of binary 0's equals the number of divisors, then 34 is included in this sequence.


MATHEMATICA

Select[Range[500], DigitCount[#, 2, 0] == DivisorSigma[0, #] &] (* Amiram Eldar, Dec 28 2019 *)


CROSSREFS

Cf. A000005, A023416, A071593, A080791.
Sequence in context: A061962 A272910 A116168 * A106527 A223608 A146438
Adjacent sequences: A152085 A152086 A152087 * A152089 A152090 A152091


KEYWORD

nonn,base


AUTHOR

Leroy Quet, Nov 23 2008


EXTENSIONS

Extended by Ray Chandler, Nov 26 2008


STATUS

approved



