λ
Integer Codex

9,439,515

32 × 5 × 209767
Deficient Odd Composite

For 9,439,515, the 12 positive divisors have a total of 16,361,904. Removing 9,439,515 leaves 6,922,389, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 209767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,361,904
Proper Divisor Sum 6,922,389
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9439513 ← → #9439517

Radix Representation

Decimal 9439515
Binary 100100000000100100011011 (24 bits)
Octal 0o44004433
Hexadecimal 0x90091B

Divisor Catalog (12)

1 3 5 9 15 45 209,767 629,301 1,048,835 1,887,903 3,146,505 9,439,515

Collatz Trajectory (300 steps to reach 1)

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

9,439,515 28,318,546 14,159,273 42,477,820 21,238,910 10,619,455 31,858,366 15,929,183 47,787,550 23,893,775 71,681,326 35,840,663 107,521,990 53,760,995 161,282,986 80,641,493 241,924,480 120,962,240 60,481,120 30,240,560 15,120,280 7,560,140 3,780,070 1,890,035 5,670,106 2,835,053 8,505,160 4,252,580 2,126,290 1,063,145 3,189,436 1,594,718 797,359 2,392,078 1,196,039 3,588,118 1,794,059 5,382,178 2,691,089 8,073,268 4,036,634 2,018,317 6,054,952 3,027,476 1,513,738 756,869 2,270,608 1,135,304 567,652 283,826 141,913 425,740 212,870 106,435 319,306 159,653 478,960 239,480 119,740 59,870

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