334,002

2 × 3 × 55667

334,002 factors as 2 × 3 × 55667. Its 8 positive divisors give a proper-divisor sum of 334,014, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3 × 55667

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 668,016

Proper Divisor Sum 334,014

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #333997 ← → #334021

Radix Representation

Decimal	334002
Binary	1010001100010110010 (19 bits)
Octal	0o1214262
Hexadecimal	0x518B2

Divisor Catalog (8)

1 2 3 6 55,667 111,334 167,001 334,002

Collatz Trajectory (114 steps to reach 1)

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

334,002 167,001 501,004 250,502 125,251 375,754 187,877 563,632 281,816 140,908 70,454 35,227 105,682 52,841 158,524 79,262 39,631 118,894 59,447 178,342 89,171 267,514 133,757 401,272 200,636 100,318 50,159 150,478 75,239 225,718 112,859 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564 180,782 90,391 271,174 135,587 406,762 203,381 610,144 305,072 152,536 76,268

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