12,667,408

2⁴ × 13 × 60901

12,667,408 factors as 2^4 × 13 × 60901. Its 20 positive divisors give a proper-divisor sum of 13,764,060, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 60901

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 26,431,468

Proper Divisor Sum 13,764,060

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12667387 ← → #12667427

Radix Representation

Decimal	12667408
Binary	110000010100101000010000 (24 bits)
Octal	0o60245020
Hexadecimal	0xC14A10

Divisor Catalog (20)

Collatz Trajectory (127 steps to reach 1)

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

12,667,408 6,333,704 3,166,852 1,583,426 791,713 2,375,140 1,187,570 593,785 1,781,356 890,678 445,339 1,336,018 668,009 2,004,028 1,002,014 501,007 1,503,022 751,511 2,254,534 1,127,267 3,381,802 1,690,901 5,072,704 2,536,352 1,268,176 634,088 317,044 158,522 79,261 237,784 118,892 59,446 29,723 89,170 44,585 133,756 66,878 33,439 100,318 50,159 150,478 75,239 225,718 112,859 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347

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