13,702,372

2² × 31 × 110503

13,702,372 factors as 2^2 × 31 × 110503. Its 12 positive divisors give a proper-divisor sum of 11,050,524, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 110503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,752,896

Proper Divisor Sum 11,050,524

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13702343 ← → #13702373

Radix Representation

Decimal	13702372
Binary	110100010001010011100100 (24 bits)
Octal	0o64212344
Hexadecimal	0xD114E4

Divisor Catalog (12)

1 2 4 31 62 124 110,503 221,006 442,012 3,425,593 6,851,186 13,702,372

Collatz Trajectory (161 steps to reach 1)

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

13,702,372 6,851,186 3,425,593 10,276,780 5,138,390 2,569,195 7,707,586 3,853,793 11,561,380 5,780,690 2,890,345 8,671,036 4,335,518 2,167,759 6,503,278 3,251,639 9,754,918 4,877,459 14,632,378 7,316,189 21,948,568 10,974,284 5,487,142 2,743,571 8,230,714 4,115,357 12,346,072 6,173,036 3,086,518 1,543,259 4,629,778 2,314,889 6,944,668 3,472,334 1,736,167 5,208,502 2,604,251 7,812,754 3,906,377 11,719,132 5,859,566 2,929,783 8,789,350 4,394,675 13,184,026 6,592,013 19,776,040 9,888,020 4,944,010 2,472,005 7,416,016 3,708,008 1,854,004 927,002 463,501 1,390,504 695,252 347,626 173,813 521,440

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