8,317,106

2 × 7 × 61 × 9739

8,317,106 factors as 2 × 7 × 61 × 9739. Its 16 positive divisors give a proper-divisor sum of 6,176,014, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 7 × 61 × 9739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,493,120

Proper Divisor Sum 6,176,014

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8317093 ← → #8317121

Radix Representation

Decimal	8317106
Binary	11111101110100010110010 (23 bits)
Octal	0o37564262
Hexadecimal	0x7EE8B2

Divisor Catalog (16)

1 2 7 14 61 122 427 854 9,739 19,478 68,173 136,346 594,079 1,188,158 4,158,553 8,317,106

Collatz Trajectory (186 steps to reach 1)

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

8,317,106 4,158,553 12,475,660 6,237,830 3,118,915 9,356,746 4,678,373 14,035,120 7,017,560 3,508,780 1,754,390 877,195 2,631,586 1,315,793 3,947,380 1,973,690 986,845 2,960,536 1,480,268 740,134 370,067 1,110,202 555,101 1,665,304 832,652 416,326 208,163 624,490 312,245 936,736 468,368 234,184 117,092 58,546 29,273 87,820 43,910 21,955 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762

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