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Atlas › Integer Profiles › Node 24,274,360

24,274,360

23 × 5 × 11 × 43 × 1283
Abundant Even Composite

24,274,360 factors as 2^3 × 5 × 11 × 43 × 1283. Its 64 positive divisors give a proper-divisor sum of 36,741,320, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 43 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 61,015,680
Proper Divisor Sum 36,741,320
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #24274339 ← → #24274373

Radix Representation

Decimal 24274360
Binary 1011100100110010110111000 (25 bits)
Octal 0o134462670
Hexadecimal 0x17265B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1,283 1,720 1,892 2,365 2,566 3,784 4,730 5,132 6,415 9,460 10,264 12,830 14,113 18,920 25,660 28,226 51,320 55,169 56,452 70,565 110,338 112,904 141,130 220,676 275,845 282,260 441,352 551,690 564,520 606,859 1,103,380 1,213,718 2,206,760 2,427,436 3,034,295

Collatz Trajectory (84 steps to reach 1)

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

24,274,360 12,137,180 6,068,590 3,034,295 9,102,886 4,551,443 13,654,330 6,827,165 20,481,496 10,240,748 5,120,374 2,560,187 7,680,562 3,840,281 11,520,844 5,760,422 2,880,211 8,640,634 4,320,317 12,960,952 6,480,476 3,240,238 1,620,119 4,860,358 2,430,179 7,290,538 3,645,269 10,935,808 5,467,904 2,733,952 1,366,976 683,488 341,744 170,872 85,436 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277

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