9,608,913

3² × 827 × 1291

9,608,913 factors as 3^2 × 827 × 1291. Its 12 positive divisors give a proper-divisor sum of 4,298,175, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3^2 × 827 × 1291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,907,088

Proper Divisor Sum 4,298,175

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9608887 ← → #9608923

Radix Representation

Decimal	9608913
Binary	100100101001111011010001 (24 bits)
Octal	0o44517321
Hexadecimal	0x929ED1

Divisor Catalog (12)

1 3 9 827 1,291 2,481 3,873 7,443 11,619 1,067,657 3,202,971 9,608,913

Collatz Trajectory (238 steps to reach 1)

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

9,608,913 28,826,740 14,413,370 7,206,685 21,620,056 10,810,028 5,405,014 2,702,507 8,107,522 4,053,761 12,161,284 6,080,642 3,040,321 9,120,964 4,560,482 2,280,241 6,840,724 3,420,362 1,710,181 5,130,544 2,565,272 1,282,636 641,318 320,659 961,978 480,989 1,442,968 721,484 360,742 180,371 541,114 270,557 811,672 405,836 202,918 101,459 304,378 152,189 456,568 228,284 114,142 57,071 171,214 85,607 256,822 128,411 385,234 192,617 577,852 288,926 144,463 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674

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