12,467,540

2² × 5 × 743 × 839

12,467,540 factors as 2^2 × 5 × 743 × 839. Its 24 positive divisors give a proper-divisor sum of 13,780,780, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 743 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 26,248,320

Proper Divisor Sum 13,780,780

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12467519 ← → #12467551

Radix Representation

Decimal	12467540
Binary	101111100011110101010100 (24 bits)
Octal	0o57436524
Hexadecimal	0xBE3D54

Divisor Catalog (24)

Collatz Trajectory (166 steps to reach 1)

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

12,467,540 6,233,770 3,116,885 9,350,656 4,675,328 2,337,664 1,168,832 584,416 292,208 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62

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