λ
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Atlas › Integer Profiles › Node 24,251,968

24,251,968

26 × 13 × 103 × 283
Abundant Even Composite

24,251,968 factors as 2^6 × 13 × 103 × 283. Its 56 positive divisors give a proper-divisor sum of 28,263,040, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 103 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 52,515,008
Proper Divisor Sum 28,263,040
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #24251893 ← → #24251971

Radix Representation

Decimal 24251968
Binary 1011100100000111001000000 (25 bits)
Octal 0o134407100
Hexadecimal 0x1720E40

Divisor Catalog (56)

1 2 4 8 13 16 26 32 52 64 103 104 206 208 283 412 416 566 824 832 1,132 1,339 1,648 2,264 2,678 3,296 3,679 4,528 5,356 6,592 7,358 9,056 10,712 14,716 18,112 21,424 29,149 29,432 42,848 58,298 58,864 85,696 116,596 117,728 233,192 235,456 378,937 466,384 757,874 932,768 1,515,748 1,865,536 3,031,496 6,062,992 12,125,984 24,251,968

Collatz Trajectory (185 steps to reach 1)

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

24,251,968 12,125,984 6,062,992 3,031,496 1,515,748 757,874 378,937 1,136,812 568,406 284,203 852,610 426,305 1,278,916 639,458 319,729 959,188 479,594 239,797 719,392 359,696 179,848 89,924 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

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