599,508

2² × 3³ × 7 × 13 × 61

599,508 factors as 2^2 × 3^3 × 7 × 13 × 61. Its 96 positive divisors give a proper-divisor sum of 1,344,812, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,944,320

Proper Divisor Sum 1,344,812

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #599491 ← → #599513

Radix Representation

Decimal	599508
Binary	10010010010111010100 (20 bits)
Octal	0o2222724
Hexadecimal	0x925D4

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 61 63 78 84 91 108 117 122 126 156 182 183 189 234 244 252 273 351 364 366 378 427 468 546 549 702 732 756 793 819 854 1,092 1,098 1,281 1,404 1,586 1,638 1,647 1,708 2,196

Collatz Trajectory (66 steps to reach 1)

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

599,508 299,754 149,877 449,632 224,816 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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