329,592

2³ × 3 × 31 × 443

329,592 is even and not a perfect square. Its factorization is 2^3 × 3 × 31 × 443 and its 32 divisors sum to 852,480.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 852,480

Proper Divisor Sum 522,888

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #329591 ← → #329597

Radix Representation

Decimal	329592
Binary	1010000011101111000 (19 bits)
Octal	0o1203570
Hexadecimal	0x50778

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 443 744 886 1,329 1,772 2,658 3,544 5,316 10,632 13,733 27,466 41,199 54,932 82,398 109,864 164,796 329,592

Collatz Trajectory (91 steps to reach 1)

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

329,592 164,796 82,398 41,199 123,598 61,799 185,398 92,699 278,098 139,049 417,148 208,574 104,287 312,862 156,431 469,294 234,647 703,942 351,971 1,055,914 527,957 1,583,872 791,936 395,968 197,984 98,992 49,496 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096

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