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Atlas › Integer Profiles › Node 15,091,029

15,091,029

36 × 127 × 163
Deficient Odd Composite

15,091,029 factors as 3^6 × 127 × 163. Its 28 positive divisors give a proper-divisor sum of 7,853,227, so this integer is deficient. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 3^6 × 127 × 163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 22,944,256
Proper Divisor Sum 7,853,227
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #15091009 ← → #15091031

Radix Representation

Decimal 15091029
Binary 111001100100010101010101 (24 bits)
Octal 0o71442525
Hexadecimal 0xE64555

Divisor Catalog (28)

1 3 9 27 81 127 163 243 381 489 729 1,143 1,467 3,429 4,401 10,287 13,203 20,701 30,861 39,609 62,103 92,583 118,827 186,309 558,927 1,676,781 5,030,343 15,091,029

Collatz Trajectory (55 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

15,091,029 45,273,088 22,636,544 11,318,272 5,659,136 2,829,568 1,414,784 707,392 353,696 176,848 88,424 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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