λ
Prime Ledger

329,261

83 × 3967
Deficient Odd Composite

329,261 has the prime decomposition 83 × 3967. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 3967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 333,312
Proper Divisor Sum 4,051
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #329257 ← → #329267

Radix Representation

Decimal 329261
Binary 1010000011000101101 (19 bits)
Octal 0o1203055
Hexadecimal 0x5062D

Divisor Catalog (4)

1 83 3,967 329,261

Collatz Trajectory (122 steps to reach 1)

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

329,261 987,784 493,892 246,946 123,473 370,420 185,210 92,605 277,816 138,908 69,454 34,727 104,182 52,091 156,274 78,137 234,412 117,206 58,603 175,810 87,905 263,716 131,858 65,929 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089

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