13,664,628

2² × 3² × 379573

13,664,628 factors as 2^2 × 3^2 × 379573. Its 18 positive divisors give a proper-divisor sum of 20,876,606, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 379573

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 34,541,234

Proper Divisor Sum 20,876,606

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #13664627 ← → #13664647

Radix Representation

Decimal	13664628
Binary	110100001000000101110100 (24 bits)
Octal	0o64100564
Hexadecimal	0xD08174

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 379,573 759,146 1,138,719 1,518,292 2,277,438 3,416,157 4,554,876 6,832,314 13,664,628

Collatz Trajectory (78 steps to reach 1)

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

13,664,628 6,832,314 3,416,157 10,248,472 5,124,236 2,562,118 1,281,059 3,843,178 1,921,589 5,764,768 2,882,384 1,441,192 720,596 360,298 180,149 540,448 270,224 135,112 67,556 33,778 16,889 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410

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