329,930

2 × 5 × 32993

329,930 factors as 2 × 5 × 32993. Its 8 positive divisors give a proper-divisor sum of 263,962, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 5 × 32993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 593,892

Proper Divisor Sum 263,962

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #329899 ← → #329941

Radix Representation

Decimal	329930
Binary	1010000100011001010 (19 bits)
Octal	0o1204312
Hexadecimal	0x508CA

Divisor Catalog (8)

1 2 5 10 32,993 65,986 164,965 329,930

Collatz Trajectory (215 steps to reach 1)

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

329,930 164,965 494,896 247,448 123,724 61,862 30,931 92,794 46,397 139,192 69,596 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575

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