598,296

2³ × 3 × 97 × 257

598,296 factors as 2^3 × 3 × 97 × 257. Its 32 positive divisors give a proper-divisor sum of 918,744, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 97 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,517,040

Proper Divisor Sum 918,744

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #598261 ← → #598303

Radix Representation

Decimal	598296
Binary	10010010000100011000 (20 bits)
Octal	0o2220430
Hexadecimal	0x92118

Divisor Catalog (32)

1 2 3 4 6 8 12 24 97 194 257 291 388 514 582 771 776 1,028 1,164 1,542 2,056 2,328 3,084 6,168 24,929 49,858 74,787 99,716 149,574 199,432 299,148 598,296

Collatz Trajectory (66 steps to reach 1)

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

598,296 299,148 149,574 74,787 224,362 112,181 336,544 168,272 84,136 42,068 21,034 10,517 31,552 15,776 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 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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