983,448

2³ × 3³ × 29 × 157

983,448 factors as 2^3 × 3^3 × 29 × 157. Its 64 positive divisors give a proper-divisor sum of 1,860,552, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,844,000

Proper Divisor Sum 1,860,552

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #983447 ← → #983449

Radix Representation

Decimal	983448
Binary	11110000000110011000 (20 bits)
Octal	0o3600630
Hexadecimal	0xF0198

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 157 174 216 232 261 314 348 471 522 628 696 783 942 1,044 1,256 1,413 1,566 1,884 2,088 2,826 3,132 3,768 4,239 4,553 5,652 6,264 8,478 9,106 11,304 13,659 16,956 18,212 27,318 33,912 36,424 40,977 54,636 81,954 109,272 122,931 163,908

Collatz Trajectory (183 steps to reach 1)

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

983,448 491,724 245,862 122,931 368,794 184,397 553,192 276,596 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043

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