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Atlas › Integer Profiles › Node 17,316,148

17,316,148

22 × 23 × 37 × 5087
Deficient Even Composite

17,316,148 factors as 2^2 × 23 × 37 × 5087. Its 24 positive divisors give a proper-divisor sum of 15,165,644, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 37 × 5087
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,481,792
Proper Divisor Sum 15,165,644
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17316139 ← → #17316157

Radix Representation

Decimal 17316148
Binary 1000010000011100100110100 (25 bits)
Octal 0o102034464
Hexadecimal 0x1083934

Divisor Catalog (24)

1 2 4 23 37 46 74 92 148 851 1,702 3,404 5,087 10,174 20,348 117,001 188,219 234,002 376,438 468,004 752,876 4,329,037 8,658,074 17,316,148

Collatz Trajectory (125 steps to reach 1)

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

17,316,148 8,658,074 4,329,037 12,987,112 6,493,556 3,246,778 1,623,389 4,870,168 2,435,084 1,217,542 608,771 1,826,314 913,157 2,739,472 1,369,736 684,868 342,434 171,217 513,652 256,826 128,413 385,240 192,620 96,310 48,155 144,466 72,233 216,700 108,350 54,175 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835

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