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Atlas › Integer Profiles › Node 24,257,840

24,257,840

24 × 5 × 89 × 3407
Abundant Even Composite

24,257,840 factors as 2^4 × 5 × 89 × 3407. Its 40 positive divisors give a proper-divisor sum of 32,792,080, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 89 × 3407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 57,049,920
Proper Divisor Sum 32,792,080
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #24257837 ← → #24257843

Radix Representation

Decimal 24257840
Binary 1011100100010010100110000 (25 bits)
Octal 0o134422460
Hexadecimal 0x1722530

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1,424 1,780 3,407 3,560 6,814 7,120 13,628 17,035 27,256 34,070 54,512 68,140 136,280 272,560 303,223 606,446 1,212,892 1,516,115 2,425,784 3,032,230 4,851,568 6,064,460 12,128,920 24,257,840

Collatz Trajectory (185 steps to reach 1)

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

24,257,840 12,128,920 6,064,460 3,032,230 1,516,115 4,548,346 2,274,173 6,822,520 3,411,260 1,705,630 852,815 2,558,446 1,279,223 3,837,670 1,918,835 5,756,506 2,878,253 8,634,760 4,317,380 2,158,690 1,079,345 3,238,036 1,619,018 809,509 2,428,528 1,214,264 607,132 303,566 151,783 455,350 227,675 683,026 341,513 1,024,540 512,270 256,135 768,406 384,203 1,152,610 576,305 1,728,916 864,458 432,229 1,296,688 648,344 324,172 162,086 81,043 243,130 121,565 364,696 182,348 91,174 45,587 136,762 68,381 205,144 102,572 51,286 25,643

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