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Atlas › Integer Profiles › Node 24,924,976

24,924,976

24 × 37 × 71 × 593
Abundant Even Composite

24,924,976 factors as 2^4 × 37 × 71 × 593. Its 40 positive divisors give a proper-divisor sum of 25,455,728, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 71 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 50,380,704
Proper Divisor Sum 25,455,728
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #24924973 ← → #24924997

Radix Representation

Decimal 24924976
Binary 1011111000101001100110000 (25 bits)
Octal 0o137051460
Hexadecimal 0x17C5330

Divisor Catalog (40)

1 2 4 8 16 37 71 74 142 148 284 296 568 592 593 1,136 1,186 2,372 2,627 4,744 5,254 9,488 10,508 21,016 21,941 42,032 42,103 43,882 84,206 87,764 168,412 175,528 336,824 351,056 673,648 1,557,811 3,115,622 6,231,244 12,462,488 24,924,976

Collatz Trajectory (154 steps to reach 1)

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

24,924,976 12,462,488 6,231,244 3,115,622 1,557,811 4,673,434 2,336,717 7,010,152 3,505,076 1,752,538 876,269 2,628,808 1,314,404 657,202 328,601 985,804 492,902 246,451 739,354 369,677 1,109,032 554,516 277,258 138,629 415,888 207,944 103,972 51,986 25,993 77,980 38,990 19,495 58,486 29,243 87,730 43,865 131,596 65,798 32,899 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394

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