λ
Integer Codex

9,516,879

33 × 41 × 8597
Deficient Odd Composite

For 9,516,879, the 16 positive divisors have a total of 14,444,640. Removing 9,516,879 leaves 4,927,761, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 41 × 8597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,444,640
Proper Divisor Sum 4,927,761
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9516847 ← → #9516883

Radix Representation

Decimal 9516879
Binary 100100010011011101001111 (24 bits)
Octal 0o44233517
Hexadecimal 0x91374F

Divisor Catalog (16)

1 3 9 27 41 123 369 1,107 8,597 25,791 77,373 232,119 352,477 1,057,431 3,172,293 9,516,879

Collatz Trajectory (176 steps to reach 1)

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

9,516,879 28,550,638 14,275,319 42,825,958 21,412,979 64,238,938 32,119,469 96,358,408 48,179,204 24,089,602 12,044,801 36,134,404 18,067,202 9,033,601 27,100,804 13,550,402 6,775,201 20,325,604 10,162,802 5,081,401 15,244,204 7,622,102 3,811,051 11,433,154 5,716,577 17,149,732 8,574,866 4,287,433 12,862,300 6,431,150 3,215,575 9,646,726 4,823,363 14,470,090 7,235,045 21,705,136 10,852,568 5,426,284 2,713,142 1,356,571 4,069,714 2,034,857 6,104,572 3,052,286 1,526,143 4,578,430 2,289,215 6,867,646 3,433,823 10,301,470 5,150,735 15,452,206 7,726,103 23,178,310 11,589,155 34,767,466 17,383,733 52,151,200 26,075,600 13,037,800

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