12,379,767

3 × 61² × 1109

12,379,767 factors as 3 × 61^2 × 1109. Its 12 positive divisors give a proper-divisor sum of 4,416,753, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 61^2 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,796,520

Proper Divisor Sum 4,416,753

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #12379739 ← → #12379769

Radix Representation

Decimal	12379767
Binary	101111001110011001110111 (24 bits)
Octal	0o57163167
Hexadecimal	0xBCE677

Divisor Catalog (12)

1 3 61 183 1,109 3,327 3,721 11,163 67,649 202,947 4,126,589 12,379,767

Collatz Trajectory (135 steps to reach 1)

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

12,379,767 37,139,302 18,569,651 55,708,954 27,854,477 83,563,432 41,781,716 20,890,858 10,445,429 31,336,288 15,668,144 7,834,072 3,917,036 1,958,518 979,259 2,937,778 1,468,889 4,406,668 2,203,334 1,101,667 3,305,002 1,652,501 4,957,504 2,478,752 1,239,376 619,688 309,844 154,922 77,461 232,384 116,192 58,096 29,048 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550

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