329,294

2 × 7 × 43 × 547

329,294 factors as 2 × 7 × 43 × 547. Its 16 positive divisors give a proper-divisor sum of 249,394, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 578,688

Proper Divisor Sum 249,394

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #329293 ← → #329297

Radix Representation

Decimal	329294
Binary	1010000011001001110 (19 bits)
Octal	0o1203116
Hexadecimal	0x5064E

Divisor Catalog (16)

1 2 7 14 43 86 301 547 602 1,094 3,829 7,658 23,521 47,042 164,647 329,294

Collatz Trajectory (184 steps to reach 1)

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

329,294 164,647 493,942 246,971 740,914 370,457 1,111,372 555,686 277,843 833,530 416,765 1,250,296 625,148 312,574 156,287 468,862 234,431 703,294 351,647 1,054,942 527,471 1,582,414 791,207 2,373,622 1,186,811 3,560,434 1,780,217 5,340,652 2,670,326 1,335,163 4,005,490 2,002,745 6,008,236 3,004,118 1,502,059 4,506,178 2,253,089 6,759,268 3,379,634 1,689,817 5,069,452 2,534,726 1,267,363 3,802,090 1,901,045 5,703,136 2,851,568 1,425,784 712,892 356,446 178,223 534,670 267,335 802,006 401,003 1,203,010 601,505 1,804,516 902,258 451,129

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