12,462,380

2² × 5 × 7 × 89017

12,462,380 factors as 2^2 × 5 × 7 × 89017. Its 24 positive divisors give a proper-divisor sum of 17,447,668, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 89017

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 29,910,048

Proper Divisor Sum 17,447,668

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12462353 ← → #12462391

Radix Representation

Decimal	12462380
Binary	101111100010100100101100 (24 bits)
Octal	0o57424454
Hexadecimal	0xBE292C

Divisor Catalog (24)

Collatz Trajectory (153 steps to reach 1)

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

12,462,380 6,231,190 3,115,595 9,346,786 4,673,393 14,020,180 7,010,090 3,505,045 10,515,136 5,257,568 2,628,784 1,314,392 657,196 328,598 164,299 492,898 246,449 739,348 369,674 184,837 554,512 277,256 138,628 69,314 34,657 103,972 51,986 25,993 77,980 38,990 19,495 58,486 29,243 87,730 43,865 131,596 65,798 32,899 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197

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