12,901,200

2⁴ × 3 × 5² × 13 × 827

12,901,200 factors as 2^4 × 3 × 5^2 × 13 × 827. Its 120 positive divisors give a proper-divisor sum of 31,658,448, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 13 × 827

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 44,559,648

Proper Divisor Sum 31,658,448

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #12901199 ← → #12901223

Radix Representation

Decimal	12901200
Binary	110001001101101101010000 (24 bits)
Octal	0o61155520
Hexadecimal	0xC4DB50

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 827 975 1,040 1,200 1,300 1,560 1,654 1,950 2,481 2,600 3,120 3,308

Collatz Trajectory (78 steps to reach 1)

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

12,901,200 6,450,600 3,225,300 1,612,650 806,325 2,418,976 1,209,488 604,744 302,372 151,186 75,593 226,780 113,390 56,695 170,086 85,043 255,130 127,565 382,696 191,348 95,674 47,837 143,512 71,756 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648

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