329,334

2 × 3 × 131 × 419

329,334 factors as 2 × 3 × 131 × 419. Its 16 positive divisors give a proper-divisor sum of 335,946, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 665,280

Proper Divisor Sum 335,946

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #329333 ← → #329347

Radix Representation

Decimal	329334
Binary	1010000011001110110 (19 bits)
Octal	0o1203166
Hexadecimal	0x50676

Divisor Catalog (16)

1 2 3 6 131 262 393 419 786 838 1,257 2,514 54,889 109,778 164,667 329,334

Collatz Trajectory (122 steps to reach 1)

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

329,334 164,667 494,002 247,001 741,004 370,502 185,251 555,754 277,877 833,632 416,816 208,408 104,204 52,102 26,051 78,154 39,077 117,232 58,616 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536

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