12,508,172

2² × 61 × 51263

12,508,172 factors as 2^2 × 61 × 51263. Its 12 positive divisors give a proper-divisor sum of 9,740,404, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 51263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,248,576

Proper Divisor Sum 9,740,404

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12508169 ← → #12508187

Radix Representation

Decimal	12508172
Binary	101111101101110000001100 (24 bits)
Octal	0o57556014
Hexadecimal	0xBEDC0C

Divisor Catalog (12)

1 2 4 61 122 244 51,263 102,526 205,052 3,127,043 6,254,086 12,508,172

Collatz Trajectory (109 steps to reach 1)

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

12,508,172 6,254,086 3,127,043 9,381,130 4,690,565 14,071,696 7,035,848 3,517,924 1,758,962 879,481 2,638,444 1,319,222 659,611 1,978,834 989,417 2,968,252 1,484,126 742,063 2,226,190 1,113,095 3,339,286 1,669,643 5,008,930 2,504,465 7,513,396 3,756,698 1,878,349 5,635,048 2,817,524 1,408,762 704,381 2,113,144 1,056,572 528,286 264,143 792,430 396,215 1,188,646 594,323 1,782,970 891,485 2,674,456 1,337,228 668,614 334,307 1,002,922 501,461 1,504,384 752,192 376,096 188,048 94,024 47,012 23,506 11,753 35,260 17,630 8,815 26,446 13,223

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