13,831,730

2 × 5 × 11 × 125743

13,831,730 factors as 2 × 5 × 11 × 125743. Its 16 positive divisors give a proper-divisor sum of 13,328,974, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 125743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 27,160,704

Proper Divisor Sum 13,328,974

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13831729 ← → #13831733

Radix Representation

Decimal	13831730
Binary	110100110000111000110010 (24 bits)
Octal	0o64607062
Hexadecimal	0xD30E32

Divisor Catalog (16)

1 2 5 10 11 22 55 110 125,743 251,486 628,715 1,257,430 1,383,173 2,766,346 6,915,865 13,831,730

Collatz Trajectory (254 steps to reach 1)

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

13,831,730 6,915,865 20,747,596 10,373,798 5,186,899 15,560,698 7,780,349 23,341,048 11,670,524 5,835,262 2,917,631 8,752,894 4,376,447 13,129,342 6,564,671 19,694,014 9,847,007 29,541,022 14,770,511 44,311,534 22,155,767 66,467,302 33,233,651 99,700,954 49,850,477 149,551,432 74,775,716 37,387,858 18,693,929 56,081,788 28,040,894 14,020,447 42,061,342 21,030,671 63,092,014 31,546,007 94,638,022 47,319,011 141,957,034 70,978,517 212,935,552 106,467,776 53,233,888 26,616,944 13,308,472 6,654,236 3,327,118 1,663,559 4,990,678 2,495,339 7,486,018 3,743,009 11,229,028 5,614,514 2,807,257 8,421,772 4,210,886 2,105,443 6,316,330 3,158,165

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