12,480,280

2³ × 5 × 312007

12,480,280 factors as 2^3 × 5 × 312007. Its 16 positive divisors give a proper-divisor sum of 15,600,440, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 312007

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,080,720

Proper Divisor Sum 15,600,440

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12480269 ← → #12480313

Radix Representation

Decimal	12480280
Binary	101111100110111100011000 (24 bits)
Octal	0o57467430
Hexadecimal	0xBE6F18

Divisor Catalog (16)

1 2 4 5 8 10 20 40 312,007 624,014 1,248,028 1,560,035 2,496,056 3,120,070 6,240,140 12,480,280

Collatz Trajectory (104 steps to reach 1)

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

12,480,280 6,240,140 3,120,070 1,560,035 4,680,106 2,340,053 7,020,160 3,510,080 1,755,040 877,520 438,760 219,380 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367

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