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Atlas › Integer Profiles › Node 23,131,120

23,131,120

24 × 5 × 289139
Abundant Even Composite

23,131,120 factors as 2^4 × 5 × 289139. Its 20 positive divisors give a proper-divisor sum of 30,648,920, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 289139
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 53,780,040
Proper Divisor Sum 30,648,920
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #23131111 ← → #23131181

Radix Representation

Decimal 23131120
Binary 1011000001111001111110000 (25 bits)
Octal 0o130171760
Hexadecimal 0x160F3F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 289,139 578,278 1,156,556 1,445,695 2,313,112 2,891,390 4,626,224 5,782,780 11,565,560 23,131,120

Collatz Trajectory (185 steps to reach 1)

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

23,131,120 11,565,560 5,782,780 2,891,390 1,445,695 4,337,086 2,168,543 6,505,630 3,252,815 9,758,446 4,879,223 14,637,670 7,318,835 21,956,506 10,978,253 32,934,760 16,467,380 8,233,690 4,116,845 12,350,536 6,175,268 3,087,634 1,543,817 4,631,452 2,315,726 1,157,863 3,473,590 1,736,795 5,210,386 2,605,193 7,815,580 3,907,790 1,953,895 5,861,686 2,930,843 8,792,530 4,396,265 13,188,796 6,594,398 3,297,199 9,891,598 4,945,799 14,837,398 7,418,699 22,256,098 11,128,049 33,384,148 16,692,074 8,346,037 25,038,112 12,519,056 6,259,528 3,129,764 1,564,882 782,441 2,347,324 1,173,662 586,831 1,760,494 880,247

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