λ
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Atlas › Integer Profiles › Node 24,995,992

24,995,992

23 × 7 × 199 × 2243
Abundant Even Composite

24,995,992 factors as 2^3 × 7 × 199 × 2243. Its 32 positive divisors give a proper-divisor sum of 28,860,008, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 199 × 2243
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,856,000
Proper Divisor Sum 28,860,008
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #24995987 ← → #24996043

Radix Representation

Decimal 24995992
Binary 1011111010110100010011000 (25 bits)
Octal 0o137264230
Hexadecimal 0x17D6898

Divisor Catalog (32)

1 2 4 7 8 14 28 56 199 398 796 1,393 1,592 2,243 2,786 4,486 5,572 8,972 11,144 15,701 17,944 31,402 62,804 125,608 446,357 892,714 1,785,428 3,124,499 3,570,856 6,248,998 12,497,996 24,995,992

Collatz Trajectory (79 steps to reach 1)

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

24,995,992 12,497,996 6,248,998 3,124,499 9,373,498 4,686,749 14,060,248 7,030,124 3,515,062 1,757,531 5,272,594 2,636,297 7,908,892 3,954,446 1,977,223 5,931,670 2,965,835 8,897,506 4,448,753 13,346,260 6,673,130 3,336,565 10,009,696 5,004,848 2,502,424 1,251,212 625,606 312,803 938,410 469,205 1,407,616 703,808 351,904 175,952 87,976 43,988 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736

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