15,815,236

2² × 17² × 13681

15,815,236 factors as 2^2 × 17^2 × 13681. Its 18 positive divisors give a proper-divisor sum of 13,587,382, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 13681

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 29,402,618

Proper Divisor Sum 13,587,382

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #15815227 ← → #15815249

Radix Representation

Decimal	15815236
Binary	111100010101001001000100 (24 bits)
Octal	0o74251104
Hexadecimal	0xF15244

Divisor Catalog (18)

1 2 4 17 34 68 289 578 1,156 13,681 27,362 54,724 232,577 465,154 930,308 3,953,809 7,907,618 15,815,236

Collatz Trajectory (148 steps to reach 1)

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

15,815,236 7,907,618 3,953,809 11,861,428 5,930,714 2,965,357 8,896,072 4,448,036 2,224,018 1,112,009 3,336,028 1,668,014 834,007 2,502,022 1,251,011 3,753,034 1,876,517 5,629,552 2,814,776 1,407,388 703,694 351,847 1,055,542 527,771 1,583,314 791,657 2,374,972 1,187,486 593,743 1,781,230 890,615 2,671,846 1,335,923 4,007,770 2,003,885 6,011,656 3,005,828 1,502,914 751,457 2,254,372 1,127,186 563,593 1,690,780 845,390 422,695 1,268,086 634,043 1,902,130 951,065 2,853,196 1,426,598 713,299 2,139,898 1,069,949 3,209,848 1,604,924 802,462 401,231 1,203,694 601,847

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