λ
Prime Ledger

329,231

72 × 6719
Deficient Odd Composite

329,231 has the prime decomposition 7^2 × 6719. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 6719
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 383,040
Proper Divisor Sum 53,809
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #329209 ← → #329233

Radix Representation

Decimal 329231
Binary 1010000011000001111 (19 bits)
Octal 0o1203017
Hexadecimal 0x5060F

Divisor Catalog (6)

1 7 49 6,719 47,033 329,231

Collatz Trajectory (122 steps to reach 1)

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

329,231 987,694 493,847 1,481,542 740,771 2,222,314 1,111,157 3,333,472 1,666,736 833,368 416,684 208,342 104,171 312,514 156,257 468,772 234,386 117,193 351,580 175,790 87,895 263,686 131,843 395,530 197,765 593,296 296,648 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089

More profiles

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