λ
Harmonic Matrix

9,132,065

5 × 19 × 97 × 991
Deficient Odd Composite

9,132,065 has digital root 8. The neighboring primes are 9132049 and 9132089; its proper-divisor sum differs from the starting integer by -6,598,210.

Prime Factor Structure

Factorization String 5 × 19 × 97 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,665,920
Proper Divisor Sum 2,533,855
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9132049 ← → #9132089

Radix Representation

Decimal 9132065
Binary 100010110101100000100001 (24 bits)
Octal 0o42654041
Hexadecimal 0x8B5821

Divisor Catalog (16)

1 5 19 95 97 485 991 1,843 4,955 9,215 18,829 94,145 96,127 480,635 1,826,413 9,132,065

Collatz Trajectory (225 steps to reach 1)

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

9,132,065 27,396,196 13,698,098 6,849,049 20,547,148 10,273,574 5,136,787 15,410,362 7,705,181 23,115,544 11,557,772 5,778,886 2,889,443 8,668,330 4,334,165 13,002,496 6,501,248 3,250,624 1,625,312 812,656 406,328 203,164 101,582 50,791 152,374 76,187 228,562 114,281 342,844 171,422 85,711 257,134 128,567 385,702 192,851 578,554 289,277 867,832 433,916 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528

More profiles

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