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6,136,800

25 × 3 × 52 × 2557
Abundant Even Composite

6,136,800 factors as 2^5 × 3 × 5^2 × 2557. Its 72 positive divisors give a proper-divisor sum of 13,846,296, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 2557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 19,983,096
Proper Divisor Sum 13,846,296
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6136751 ← → #6136807

Radix Representation

Decimal 6136800
Binary 10111011010001111100000 (23 bits)
Octal 0o27321740
Hexadecimal 0x5DA3E0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1,200 2,400 2,557 5,114 7,671 10,228 12,785 15,342 20,456 25,570 30,684 38,355 40,912 51,140 61,368 63,925 76,710 81,824 102,280 122,736 127,850 153,420 191,775 204,560 245,472 255,700

Collatz Trajectory (59 steps to reach 1)

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

6,136,800 3,068,400 1,534,200 767,100 383,550 191,775 575,326 287,663 862,990 431,495 1,294,486 647,243 1,941,730 970,865 2,912,596 1,456,298 728,149 2,184,448 1,092,224 546,112 273,056 136,528 68,264 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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