322,476

2² × 3 × 7 × 11 × 349

322,476 factors as 2^2 × 3 × 7 × 11 × 349. Its 48 positive divisors give a proper-divisor sum of 618,324, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 940,800

Proper Divisor Sum 618,324

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #322463 ← → #322501

Radix Representation

Decimal	322476
Binary	1001110101110101100 (19 bits)
Octal	0o1165654
Hexadecimal	0x4EBAC

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 349 462 698 924 1,047 1,396 2,094 2,443 3,839 4,188 4,886 7,329 7,678 9,772 11,517 14,658 15,356 23,034 26,873 29,316 46,068 53,746 80,619 107,492 161,238 322,476

Collatz Trajectory (96 steps to reach 1)

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

322,476 161,238 80,619 241,858 120,929 362,788 181,394 90,697 272,092 136,046 68,023 204,070 102,035 306,106 153,053 459,160 229,580 114,790 57,395 172,186 86,093 258,280 129,140 64,570 32,285 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051

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