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Atlas › Integer Profiles › Node 17,933,872

17,933,872

24 × 11 × 19 × 31 × 173
Abundant Even Composite

17,933,872 factors as 2^4 × 11 × 19 × 31 × 173. Its 80 positive divisors give a proper-divisor sum of 23,492,048, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 19 × 31 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 41,425,920
Proper Divisor Sum 23,492,048
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17933833 ← → #17933887

Radix Representation

Decimal 17933872
Binary 1000100011010011000110000 (25 bits)
Octal 0o104323060
Hexadecimal 0x111A630

Divisor Catalog (60 of 80)

1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 173 176 209 248 304 341 346 418 496 589 682 692 836 1,178 1,364 1,384 1,672 1,903 2,356 2,728 2,768 3,287 3,344 3,806 4,712 5,363 5,456 6,479 6,574 7,612 9,424 10,726 12,958 13,148 15,224 21,452 25,916 26,296 30,448 36,157 42,904 51,832 52,592 58,993

Collatz Trajectory (138 steps to reach 1)

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

17,933,872 8,966,936 4,483,468 2,241,734 1,120,867 3,362,602 1,681,301 5,043,904 2,521,952 1,260,976 630,488 315,244 157,622 78,811 236,434 118,217 354,652 177,326 88,663 265,990 132,995 398,986 199,493 598,480 299,240 149,620 74,810 37,405 112,216 56,108 28,054 14,027 42,082 21,041 63,124 31,562 15,781 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527

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