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Atlas › Integer Profiles › Node 18,290,032

18,290,032

24 × 127 × 9001
Deficient Even Composite

18,290,032 factors as 2^4 × 127 × 9001. Its 20 positive divisors give a proper-divisor sum of 17,429,904, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^4 × 127 × 9001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 35,719,936
Proper Divisor Sum 17,429,904
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #18290021 ← → #18290053

Radix Representation

Decimal 18290032
Binary 1000101110001010101110000 (25 bits)
Octal 0o105612560
Hexadecimal 0x1171570

Divisor Catalog (20)

1 2 4 8 16 127 254 508 1,016 2,032 9,001 18,002 36,004 72,008 144,016 1,143,127 2,286,254 4,572,508 9,145,016 18,290,032

Collatz Trajectory (81 steps to reach 1)

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

18,290,032 9,145,016 4,572,508 2,286,254 1,143,127 3,429,382 1,714,691 5,144,074 2,572,037 7,716,112 3,858,056 1,929,028 964,514 482,257 1,446,772 723,386 361,693 1,085,080 542,540 271,270 135,635 406,906 203,453 610,360 305,180 152,590 76,295 228,886 114,443 343,330 171,665 514,996 257,498 128,749 386,248 193,124 96,562 48,281 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223

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