9,107,917

7 × 13² × 7699

9,107,917 factors as 7 × 13^2 × 7699. Its 12 positive divisors give a proper-divisor sum of 2,164,883, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 7699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,272,800

Proper Divisor Sum 2,164,883

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9107909 ← → #9107941

Radix Representation

Decimal	9107917
Binary	100010101111100111001101 (24 bits)
Octal	0o42574715
Hexadecimal	0x8AF9CD

Divisor Catalog (12)

1 7 13 91 169 1,183 7,699 53,893 100,087 700,609 1,301,131 9,107,917

Collatz Trajectory (163 steps to reach 1)

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

9,107,917 27,323,752 13,661,876 6,830,938 3,415,469 10,246,408 5,123,204 2,561,602 1,280,801 3,842,404 1,921,202 960,601 2,881,804 1,440,902 720,451 2,161,354 1,080,677 3,242,032 1,621,016 810,508 405,254 202,627 607,882 303,941 911,824 455,912 227,956 113,978 56,989 170,968 85,484 42,742 21,371 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773

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