598,332

2² × 3 × 7 × 17 × 419

598,332 factors as 2^2 × 3 × 7 × 17 × 419. Its 48 positive divisors give a proper-divisor sum of 1,095,108, so this integer is abundant. The Collatz stopping time is 327 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 419

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,693,440

Proper Divisor Sum 1,095,108

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #598307 ← → #598333

Radix Representation

Decimal	598332
Binary	10010010000100111100 (20 bits)
Octal	0o2220474
Hexadecimal	0x9213C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 419 476 714 838 1,257 1,428 1,676 2,514 2,933 5,028 5,866 7,123 8,799 11,732 14,246 17,598 21,369 28,492 35,196 42,738 49,861 85,476 99,722 149,583 199,444 299,166 598,332

Collatz Trajectory (327 steps to reach 1)

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

598,332 299,166 149,583 448,750 224,375 673,126 336,563 1,009,690 504,845 1,514,536 757,268 378,634 189,317 567,952 283,976 141,988 70,994 35,497 106,492 53,246 26,623 79,870 39,935 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854 4,918,427

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