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12,901,600

25 × 52 × 16127
Abundant Even Composite

12,901,600 factors as 2^5 × 5^2 × 16127. Its 36 positive divisors give a proper-divisor sum of 18,596,384, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 16127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 31,497,984
Proper Divisor Sum 18,596,384
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #12901579 ← → #12901619

Radix Representation

Decimal 12901600
Binary 110001001101110011100000 (24 bits)
Octal 0o61156340
Hexadecimal 0xC4DCE0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16,127 32,254 64,508 80,635 129,016 161,270 258,032 322,540 403,175 516,064 645,080 806,350 1,290,160 1,612,700 2,580,320 3,225,400 6,450,800 12,901,600

Collatz Trajectory (166 steps to reach 1)

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

12,901,600 6,450,800 3,225,400 1,612,700 806,350 403,175 1,209,526 604,763 1,814,290 907,145 2,721,436 1,360,718 680,359 2,041,078 1,020,539 3,061,618 1,530,809 4,592,428 2,296,214 1,148,107 3,444,322 1,722,161 5,166,484 2,583,242 1,291,621 3,874,864 1,937,432 968,716 484,358 242,179 726,538 363,269 1,089,808 544,904 272,452 136,226 68,113 204,340 102,170 51,085 153,256 76,628 38,314 19,157 57,472 28,736 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380

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