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Atlas › Integer Profiles › Node 23,132,000

23,132,000

25 × 53 × 5783
Abundant Even Composite

23,132,000 factors as 2^5 × 5^3 × 5783. Its 48 positive divisors give a proper-divisor sum of 33,713,152, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 5783
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,845,152
Proper Divisor Sum 33,713,152
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #23131973 ← → #23132023

Radix Representation

Decimal 23132000
Binary 1011000001111011101100000 (25 bits)
Octal 0o130173540
Hexadecimal 0x160F760

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1,000 2,000 4,000 5,783 11,566 23,132 28,915 46,264 57,830 92,528 115,660 144,575 185,056 231,320 289,150 462,640 578,300 722,875 925,280 1,156,600 1,445,750 2,313,200 2,891,500 4,626,400 5,783,000 11,566,000 23,132,000

Collatz Trajectory (71 steps to reach 1)

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

23,132,000 11,566,000 5,783,000 2,891,500 1,445,750 722,875 2,168,626 1,084,313 3,252,940 1,626,470 813,235 2,439,706 1,219,853 3,659,560 1,829,780 914,890 457,445 1,372,336 686,168 343,084 171,542 85,771 257,314 128,657 385,972 192,986 96,493 289,480 144,740 72,370 36,185 108,556 54,278 27,139 81,418 40,709 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682

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