13,637,465

5 × 61² × 733

13,637,465 factors as 5 × 61^2 × 733. Its 12 positive divisors give a proper-divisor sum of 3,022,867, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 5 × 61^2 × 733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,660,332

Proper Divisor Sum 3,022,867

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13637431 ← → #13637501

Radix Representation

Decimal	13637465
Binary	110100000001011101011001 (24 bits)
Octal	0o64013531
Hexadecimal	0xD01759

Divisor Catalog (12)

1 5 61 305 733 3,665 3,721 18,605 44,713 223,565 2,727,493 13,637,465

Collatz Trajectory (130 steps to reach 1)

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

13,637,465 40,912,396 20,456,198 10,228,099 30,684,298 15,342,149 46,026,448 23,013,224 11,506,612 5,753,306 2,876,653 8,629,960 4,314,980 2,157,490 1,078,745 3,236,236 1,618,118 809,059 2,427,178 1,213,589 3,640,768 1,820,384 910,192 455,096 227,548 113,774 56,887 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987

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