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Atlas › Integer Profiles › Node 23,947,485

23,947,485

3 × 5 × 23 × 41 × 1693
Deficient Odd Composite

23,947,485 factors as 3 × 5 × 23 × 41 × 1693. Its 32 positive divisors give a proper-divisor sum of 17,033,763, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 41 × 1693
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,981,248
Proper Divisor Sum 17,033,763
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #23947477 ← → #23947489

Radix Representation

Decimal 23947485
Binary 1011011010110100011011101 (25 bits)
Octal 0o133264335
Hexadecimal 0x16D68DD

Divisor Catalog (32)

1 3 5 15 23 41 69 115 123 205 345 615 943 1,693 2,829 4,715 5,079 8,465 14,145 25,395 38,939 69,413 116,817 194,695 208,239 347,065 584,085 1,041,195 1,596,499 4,789,497 7,982,495 23,947,485

Collatz Trajectory (115 steps to reach 1)

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

23,947,485 71,842,456 35,921,228 17,960,614 8,980,307 26,940,922 13,470,461 40,411,384 20,205,692 10,102,846 5,051,423 15,154,270 7,577,135 22,731,406 11,365,703 34,097,110 17,048,555 51,145,666 25,572,833 76,718,500 38,359,250 19,179,625 57,538,876 28,769,438 14,384,719 43,154,158 21,577,079 64,731,238 32,365,619 97,096,858 48,548,429 145,645,288 72,822,644 36,411,322 18,205,661 54,616,984 27,308,492 13,654,246 6,827,123 20,481,370 10,240,685 30,722,056 15,361,028 7,680,514 3,840,257 11,520,772 5,760,386 2,880,193 8,640,580 4,320,290 2,160,145 6,480,436 3,240,218 1,620,109 4,860,328 2,430,164 1,215,082 607,541 1,822,624 911,312

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