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Atlas › Integer Profiles › Node 75,248,656

75,248,656

24 × 7 × 31 × 21673
Abundant Even Composite

75,248,656 factors as 2^4 × 7 × 31 × 21673. Its 40 positive divisors give a proper-divisor sum of 96,756,208, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 21673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 172,004,864
Proper Divisor Sum 96,756,208
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #75248651 ← → #75248669

Radix Representation

Decimal 75248656
Binary 100011111000011010000010000 (27 bits)
Octal 0o437032020
Hexadecimal 0x47C3410

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1,736 3,472 21,673 43,346 86,692 151,711 173,384 303,422 346,768 606,844 671,863 1,213,688 1,343,726 2,427,376 2,687,452 4,703,041 5,374,904 9,406,082 10,749,808 18,812,164 37,624,328 75,248,656

Collatz Trajectory (197 steps to reach 1)

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

75,248,656 37,624,328 18,812,164 9,406,082 4,703,041 14,109,124 7,054,562 3,527,281 10,581,844 5,290,922 2,645,461 7,936,384 3,968,192 1,984,096 992,048 496,024 248,012 124,006 62,003 186,010 93,005 279,016 139,508 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213

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