13,725,062

2 × 13 × 29 × 109 × 167

13,725,062 factors as 2 × 13 × 29 × 109 × 167. Its 32 positive divisors give a proper-divisor sum of 9,559,738, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 109 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,284,800

Proper Divisor Sum 9,559,738

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13725031 ← → #13725077

Radix Representation

Decimal	13725062
Binary	110100010110110110000110 (24 bits)
Octal	0o64266606
Hexadecimal	0xD16D86

Divisor Catalog (32)

Collatz Trajectory (192 steps to reach 1)

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

13,725,062 6,862,531 20,587,594 10,293,797 30,881,392 15,440,696 7,720,348 3,860,174 1,930,087 5,790,262 2,895,131 8,685,394 4,342,697 13,028,092 6,514,046 3,257,023 9,771,070 4,885,535 14,656,606 7,328,303 21,984,910 10,992,455 32,977,366 16,488,683 49,466,050 24,733,025 74,199,076 37,099,538 18,549,769 55,649,308 27,824,654 13,912,327 41,736,982 20,868,491 62,605,474 31,302,737 93,908,212 46,954,106 23,477,053 70,431,160 35,215,580 17,607,790 8,803,895 26,411,686 13,205,843 39,617,530 19,808,765 59,426,296 29,713,148 14,856,574 7,428,287 22,284,862 11,142,431 33,427,294 16,713,647 50,140,942 25,070,471 75,211,414 37,605,707 112,817,122

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