13,609,972

2² × 107 × 31799

13,609,972 factors as 2^2 × 107 × 31799. Its 12 positive divisors give a proper-divisor sum of 10,430,828, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2^2 × 107 × 31799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,040,800

Proper Divisor Sum 10,430,828

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #13609963 ← → #13610021

Radix Representation

Decimal	13609972
Binary	110011111010101111110100 (24 bits)
Octal	0o63725764
Hexadecimal	0xCFABF4

Divisor Catalog (12)

1 2 4 107 214 428 31,799 63,598 127,196 3,402,493 6,804,986 13,609,972

Collatz Trajectory (254 steps to reach 1)

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

13,609,972 6,804,986 3,402,493 10,207,480 5,103,740 2,551,870 1,275,935 3,827,806 1,913,903 5,741,710 2,870,855 8,612,566 4,306,283 12,918,850 6,459,425 19,378,276 9,689,138 4,844,569 14,533,708 7,266,854 3,633,427 10,900,282 5,450,141 16,350,424 8,175,212 4,087,606 2,043,803 6,131,410 3,065,705 9,197,116 4,598,558 2,299,279 6,897,838 3,448,919 10,346,758 5,173,379 15,520,138 7,760,069 23,280,208 11,640,104 5,820,052 2,910,026 1,455,013 4,365,040 2,182,520 1,091,260 545,630 272,815 818,446 409,223 1,227,670 613,835 1,841,506 920,753 2,762,260 1,381,130 690,565 2,071,696 1,035,848 517,924

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