12,480,748

2² × 7 × 445741

12,480,748 factors as 2^2 × 7 × 445741. Its 12 positive divisors give a proper-divisor sum of 12,480,804, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 445741

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,961,552

Proper Divisor Sum 12,480,804

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12480733 ← → #12480749

Radix Representation

Decimal	12480748
Binary	101111100111000011101100 (24 bits)
Octal	0o57470354
Hexadecimal	0xBE70EC

Divisor Catalog (12)

1 2 4 7 14 28 445,741 891,482 1,782,964 3,120,187 6,240,374 12,480,748

Collatz Trajectory (210 steps to reach 1)

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

12,480,748 6,240,374 3,120,187 9,360,562 4,680,281 14,040,844 7,020,422 3,510,211 10,530,634 5,265,317 15,795,952 7,897,976 3,948,988 1,974,494 987,247 2,961,742 1,480,871 4,442,614 2,221,307 6,663,922 3,331,961 9,995,884 4,997,942 2,498,971 7,496,914 3,748,457 11,245,372 5,622,686 2,811,343 8,434,030 4,217,015 12,651,046 6,325,523 18,976,570 9,488,285 28,464,856 14,232,428 7,116,214 3,558,107 10,674,322 5,337,161 16,011,484 8,005,742 4,002,871 12,008,614 6,004,307 18,012,922 9,006,461 27,019,384 13,509,692 6,754,846 3,377,423 10,132,270 5,066,135 15,198,406 7,599,203 22,797,610 11,398,805 34,196,416 17,098,208

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