13,788,800

2⁷ × 5² × 31 × 139

13,788,800 factors as 2^7 × 5^2 × 31 × 139. Its 96 positive divisors give a proper-divisor sum of 21,625,600, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 31 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 35,414,400

Proper Divisor Sum 21,625,600

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13788793 ← → #13788811

Radix Representation

Decimal	13788800
Binary	110100100110011010000000 (24 bits)
Octal	0o64463200
Hexadecimal	0xD26680

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 139 155 160 200 248 278 310 320 400 496 556 620 640 695 775 800 992 1,112 1,240 1,390 1,550 1,600 1,984 2,224 2,480 2,780 3,100 3,200 3,475 3,968 4,309 4,448 4,960 5,560 6,200 6,950 8,618 8,896 9,920 11,120 12,400

Collatz Trajectory (99 steps to reach 1)

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

13,788,800 6,894,400 3,447,200 1,723,600 861,800 430,900 215,450 107,725 323,176 161,588 80,794 40,397 121,192 60,596 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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