598,617

3³ × 22171

598,617 factors as 3^3 × 22171. Its 8 positive divisors give a proper-divisor sum of 288,263, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3^3 × 22171

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 886,880

Proper Divisor Sum 288,263

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #598613 ← → #598643

Radix Representation

Decimal	598617
Binary	10010010001001011001 (20 bits)
Octal	0o2221131
Hexadecimal	0x92259

Divisor Catalog (8)

1 3 9 27 22,171 66,513 199,539 598,617

Collatz Trajectory (234 steps to reach 1)

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

598,617 1,795,852 897,926 448,963 1,346,890 673,445 2,020,336 1,010,168 505,084 252,542 126,271 378,814 189,407 568,222 284,111 852,334 426,167 1,278,502 639,251 1,917,754 958,877 2,876,632 1,438,316 719,158 359,579 1,078,738 539,369 1,618,108 809,054 404,527 1,213,582 606,791 1,820,374 910,187 2,730,562 1,365,281 4,095,844 2,047,922 1,023,961 3,071,884 1,535,942 767,971 2,303,914 1,151,957 3,455,872 1,727,936 863,968 431,984 215,992 107,996 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781

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