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Atlas › Integer Profiles › Node 23,627,032

23,627,032

23 × 11 × 13 × 19 × 1087
Abundant Even Composite

23,627,032 factors as 2^3 × 11 × 13 × 19 × 1087. Its 64 positive divisors give a proper-divisor sum of 31,208,168, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 19 × 1087
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 54,835,200
Proper Divisor Sum 31,208,168
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23626987 ← → #23627033

Radix Representation

Decimal 23627032
Binary 1011010001000010100011000 (25 bits)
Octal 0o132102430
Hexadecimal 0x1688518

Divisor Catalog (60 of 64)

1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1,087 1,144 1,672 1,976 2,174 2,717 4,348 5,434 8,696 10,868 11,957 14,131 20,653 21,736 23,914 28,262 41,306 47,828 56,524 82,612 95,656 113,048 155,441 165,224 227,183 268,489 310,882 454,366 536,978 621,764 908,732 1,073,956 1,243,528 1,817,464 2,147,912

Collatz Trajectory (123 steps to reach 1)

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

23,627,032 11,813,516 5,906,758 2,953,379 8,860,138 4,430,069 13,290,208 6,645,104 3,322,552 1,661,276 830,638 415,319 1,245,958 622,979 1,868,938 934,469 2,803,408 1,401,704 700,852 350,426 175,213 525,640 262,820 131,410 65,705 197,116 98,558 49,279 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748 157,874 78,937 236,812 118,406 59,203 177,610 88,805 266,416 133,208 66,604 33,302 16,651 49,954 24,977

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