317,520

2⁴ × 3⁴ × 5 × 7²

317,520 has digital root 9. The neighboring primes are 317503 and 317539; its proper-divisor sum differs from the starting integer by 647,802.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 150

Divisor Sum (σ) 1,282,842

Proper Divisor Sum 965,322

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #317503 ← → #317539

Radix Representation

Decimal	317520
Binary	1001101100001010000 (19 bits)
Octal	0o1154120
Hexadecimal	0x4D850

Divisor Catalog (60 of 150)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 98 105 108 112 120 126 135 140 144 147 162 168 180 189 196 210 216 240 245 252 270 280

Collatz Trajectory (78 steps to reach 1)

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

317,520 158,760 79,380 39,690 19,845 59,536 29,768 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

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