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Atlas › Integer Profiles › Node 23,909,560

23,909,560

23 × 5 × 41 × 61 × 239
Abundant Even Composite

23,909,560 factors as 2^3 × 5 × 41 × 61 × 239. Its 64 positive divisors give a proper-divisor sum of 32,336,840, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 61 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 56,246,400
Proper Divisor Sum 32,336,840
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23909551 ← → #23909563

Radix Representation

Decimal 23909560
Binary 1011011001101010010111000 (25 bits)
Octal 0o133152270
Hexadecimal 0x16CD4B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 41 61 82 122 164 205 239 244 305 328 410 478 488 610 820 956 1,195 1,220 1,640 1,912 2,390 2,440 2,501 4,780 5,002 9,560 9,799 10,004 12,505 14,579 19,598 20,008 25,010 29,158 39,196 48,995 50,020 58,316 72,895 78,392 97,990 100,040 116,632 145,790 195,980 291,580 391,960 583,160 597,739 1,195,478 2,390,956 2,988,695

Collatz Trajectory (141 steps to reach 1)

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

23,909,560 11,954,780 5,977,390 2,988,695 8,966,086 4,483,043 13,449,130 6,724,565 20,173,696 10,086,848 5,043,424 2,521,712 1,260,856 630,428 315,214 157,607 472,822 236,411 709,234 354,617 1,063,852 531,926 265,963 797,890 398,945 1,196,836 598,418 299,209 897,628 448,814 224,407 673,222 336,611 1,009,834 504,917 1,514,752 757,376 378,688 189,344 94,672 47,336 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216

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