676,872

2³ × 3² × 7 × 17 × 79

676,872 factors as 2^3 × 3^2 × 7 × 17 × 79. Its 96 positive divisors give a proper-divisor sum of 1,569,528, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 17 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,246,400

Proper Divisor Sum 1,569,528

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #676861 ← → #676883

Radix Representation

Decimal	676872
Binary	10100101010000001000 (20 bits)
Octal	0o2452010
Hexadecimal	0xA5408

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 79 84 102 119 126 136 153 158 168 204 237 238 252 306 316 357 408 474 476 504 553 612 632 711 714 948 952 1,071 1,106 1,224 1,343 1,422 1,428 1,659 1,896 2,142 2,212

Collatz Trajectory (136 steps to reach 1)

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

676,872 338,436 169,218 84,609 253,828 126,914 63,457 190,372 95,186 47,593 142,780 71,390 35,695 107,086 53,543 160,630 80,315 240,946 120,473 361,420 180,710 90,355 271,066 135,533 406,600 203,300 101,650 50,825 152,476 76,238 38,119 114,358 57,179 171,538 85,769 257,308 128,654 64,327 192,982 96,491 289,474 144,737 434,212 217,106 108,553 325,660 162,830 81,415 244,246 122,123 366,370 183,185 549,556 274,778 137,389 412,168 206,084 103,042 51,521 154,564

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