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Atlas › Integer Profiles › Node 24,939,744

24,939,744

25 × 3 × 71 × 3659
Abundant Even Composite

24,939,744 factors as 2^5 × 3 × 71 × 3659. Its 48 positive divisors give a proper-divisor sum of 41,467,296, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 71 × 3659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,407,040
Proper Divisor Sum 41,467,296
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #24939743 ← → #24939763

Radix Representation

Decimal 24939744
Binary 1011111001000110011100000 (25 bits)
Octal 0o137106340
Hexadecimal 0x17C8CE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1,136 1,704 2,272 3,408 3,659 6,816 7,318 10,977 14,636 21,954 29,272 43,908 58,544 87,816 117,088 175,632 259,789 351,264 519,578 779,367 1,039,156 1,558,734 2,078,312 3,117,468 4,156,624 6,234,936 8,313,248 12,469,872 24,939,744

Collatz Trajectory (154 steps to reach 1)

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

24,939,744 12,469,872 6,234,936 3,117,468 1,558,734 779,367 2,338,102 1,169,051 3,507,154 1,753,577 5,260,732 2,630,366 1,315,183 3,945,550 1,972,775 5,918,326 2,959,163 8,877,490 4,438,745 13,316,236 6,658,118 3,329,059 9,987,178 4,993,589 14,980,768 7,490,384 3,745,192 1,872,596 936,298 468,149 1,404,448 702,224 351,112 175,556 87,778 43,889 131,668 65,834 32,917 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733

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