13,776,776

2³ × 13 × 132469

13,776,776 factors as 2^3 × 13 × 132469. Its 16 positive divisors give a proper-divisor sum of 14,041,924, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 132469

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 27,818,700

Proper Divisor Sum 14,041,924

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #13776757 ← → #13776797

Radix Representation

Decimal	13776776
Binary	110100100011011110001000 (24 bits)
Octal	0o64433610
Hexadecimal	0xD23788

Divisor Catalog (16)

1 2 4 8 13 26 52 104 132,469 264,938 529,876 1,059,752 1,722,097 3,444,194 6,888,388 13,776,776

Collatz Trajectory (117 steps to reach 1)

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

13,776,776 6,888,388 3,444,194 1,722,097 5,166,292 2,583,146 1,291,573 3,874,720 1,937,360 968,680 484,340 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389

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