312,676

2² × 7 × 13 × 859

312,676 has the prime decomposition 2^2 × 7 × 13 × 859. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 674,240

Proper Divisor Sum 361,564

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #312673 ← → #312677

Radix Representation

Decimal	312676
Binary	1001100010101100100 (19 bits)
Octal	0o1142544
Hexadecimal	0x4C564

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 859 1,718 3,436 6,013 11,167 12,026 22,334 24,052 44,668 78,169 156,338 312,676

Collatz Trajectory (171 steps to reach 1)

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

312,676 156,338 78,169 234,508 117,254 58,627 175,882 87,941 263,824 131,912 65,956 32,978 16,489 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332

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