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A071175 Numbers n such that product of exponents = sum of prime factors. 3
4, 27, 96, 486, 640, 1440, 2025, 2400, 2744, 3024, 3125, 3528, 3584, 4032, 4536, 4860, 5292, 5625, 9408, 11907, 12150, 12348, 14256, 15360, 16464, 17424, 20412, 22400, 22464, 25344, 31360, 32805, 36504, 37500, 39204, 55566, 56250, 57624 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

55566 = 2^1*3^4*7^3 and 1*4*3 = 2+3+7 hence 55566 is in the sequence.

PROG

(PARI) for(n=1, 200000, o=omega(n); if(prod(i=1, o, component(component(factor(n), 2), i))==sum(i=1, o, component(component(factor(n), 1), i)), print1(n, ", ")))

CROSSREFS

Cf. A054411, A054412.

Sequence in context: A071174 A092364 A296316 * A063262 A156223 A048102

Adjacent sequences:  A071172 A071173 A071174 * A071176 A071177 A071178

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Jun 10 2002

STATUS

approved

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Last modified December 12 15:01 EST 2017. Contains 295939 sequences.