8,317,008

2⁴ × 3² × 7 × 37 × 223

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 37 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 27,442,688

Proper Divisor Sum 19,125,680

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8316991 ← → #8317009

Radix Representation

Decimal	8317008
Binary	11111101110100001010000 (23 bits)
Octal	0o37564120
Hexadecimal	0x7EE850

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 223 252 259 296 333 336 444 446 504 518 592 666 669 777 888 892 1,008 1,036 1,332 1,338 1,554 1,561 1,776 1,784 2,007 2,072 2,331 2,664 2,676

Collatz Trajectory (168 steps to reach 1)

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

8,317,008 4,158,504 2,079,252 1,039,626 519,813 1,559,440 779,720 389,860 194,930 97,465 292,396 146,198 73,099 219,298 109,649 328,948 164,474 82,237 246,712 123,356 61,678 30,839 92,518 46,259 138,778 69,389 208,168 104,084 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41

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