9,108,127

7 × 331 × 3931

9,108,127 has digital root 1. The neighboring primes are 9108091 and 9108133; its proper-divisor sum differs from the starting integer by -7,772,862.

Prime Factor Structure

Factorization String 7 × 331 × 3931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,443,392

Proper Divisor Sum 1,335,265

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9108091 ← → #9108133

Radix Representation

Decimal	9108127
Binary	100010101111101010011111 (24 bits)
Octal	0o42575237
Hexadecimal	0x8AFA9F

Divisor Catalog (8)

1 7 331 2,317 3,931 27,517 1,301,161 9,108,127

Collatz Trajectory (106 steps to reach 1)

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

9,108,127 27,324,382 13,662,191 40,986,574 20,493,287 61,479,862 30,739,931 92,219,794 46,109,897 138,329,692 69,164,846 34,582,423 103,747,270 51,873,635 155,620,906 77,810,453 233,431,360 116,715,680 58,357,840 29,178,920 14,589,460 7,294,730 3,647,365 10,942,096 5,471,048 2,735,524 1,367,762 683,881 2,051,644 1,025,822 512,911 1,538,734 769,367 2,308,102 1,154,051 3,462,154 1,731,077 5,193,232 2,596,616 1,298,308 649,154 324,577 973,732 486,866 243,433 730,300 365,150 182,575 547,726 273,863 821,590 410,795 1,232,386 616,193 1,848,580 924,290 462,145 1,386,436 693,218 346,609

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