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Atlas › Integer Profiles › Node 24,254,550

24,254,550

2 × 32 × 52 × 53899
Abundant Even Composite

24,254,550 factors as 2 × 3^2 × 5^2 × 53899. Its 36 positive divisors give a proper-divisor sum of 40,910,550, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 53899
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 65,165,100
Proper Divisor Sum 40,910,550
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #24254533 ← → #24254551

Radix Representation

Decimal 24254550
Binary 1011100100001100001010110 (25 bits)
Octal 0o134414126
Hexadecimal 0x1721856

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 53,899 107,798 161,697 269,495 323,394 485,091 538,990 808,485 970,182 1,347,475 1,616,970 2,425,455 2,694,950 4,042,425 4,850,910 8,084,850 12,127,275 24,254,550

Collatz Trajectory (123 steps to reach 1)

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

24,254,550 12,127,275 36,381,826 18,190,913 54,572,740 27,286,370 13,643,185 40,929,556 20,464,778 10,232,389 30,697,168 15,348,584 7,674,292 3,837,146 1,918,573 5,755,720 2,877,860 1,438,930 719,465 2,158,396 1,079,198 539,599 1,618,798 809,399 2,428,198 1,214,099 3,642,298 1,821,149 5,463,448 2,731,724 1,365,862 682,931 2,048,794 1,024,397 3,073,192 1,536,596 768,298 384,149 1,152,448 576,224 288,112 144,056 72,028 36,014 18,007 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274

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