λ
Harmonic Matrix

9,669,317

72 × 41 × 4813
Deficient Odd Composite

9,669,317 has digital root 5. The neighboring primes are 9669307 and 9669329; its proper-divisor sum differs from the starting integer by -7,813,918.

Prime Factor Structure

Factorization String 7^2 × 41 × 4813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,524,716
Proper Divisor Sum 1,855,399
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9669307 ← → #9669329

Radix Representation

Decimal 9669317
Binary 100100111000101011000101 (24 bits)
Octal 0o44705305
Hexadecimal 0x938AC5

Divisor Catalog (12)

1 7 41 49 287 2,009 4,813 33,691 197,333 235,837 1,381,331 9,669,317

Collatz Trajectory (207 steps to reach 1)

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

9,669,317 29,007,952 14,503,976 7,251,988 3,625,994 1,812,997 5,438,992 2,719,496 1,359,748 679,874 339,937 1,019,812 509,906 254,953 764,860 382,430 191,215 573,646 286,823 860,470 430,235 1,290,706 645,353 1,936,060 968,030 484,015 1,452,046 726,023 2,178,070 1,089,035 3,267,106 1,633,553 4,900,660 2,450,330 1,225,165 3,675,496 1,837,748 918,874 459,437 1,378,312 689,156 344,578 172,289 516,868 258,434 129,217 387,652 193,826 96,913 290,740 145,370 72,685 218,056 109,028 54,514 27,257 81,772 40,886 20,443 61,330

More profiles

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