λ
Integer Codex

8,964,632

23 × 53 × 21143
Deficient Even Composite

For 8,964,632, the 16 positive divisors have a total of 17,126,640. Removing 8,964,632 leaves 8,162,008, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 53 × 21143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,126,640
Proper Divisor Sum 8,162,008
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8964623 ← → #8964647

Radix Representation

Decimal 8964632
Binary 100010001100101000011000 (24 bits)
Octal 0o42145030
Hexadecimal 0x88CA18

Divisor Catalog (16)

1 2 4 8 53 106 212 424 21,143 42,286 84,572 169,144 1,120,579 2,241,158 4,482,316 8,964,632

Collatz Trajectory (119 steps to reach 1)

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

8,964,632 4,482,316 2,241,158 1,120,579 3,361,738 1,680,869 5,042,608 2,521,304 1,260,652 630,326 315,163 945,490 472,745 1,418,236 709,118 354,559 1,063,678 531,839 1,595,518 797,759 2,393,278 1,196,639 3,589,918 1,794,959 5,384,878 2,692,439 8,077,318 4,038,659 12,115,978 6,057,989 18,173,968 9,086,984 4,543,492 2,271,746 1,135,873 3,407,620 1,703,810 851,905 2,555,716 1,277,858 638,929 1,916,788 958,394 479,197 1,437,592 718,796 359,398 179,699 539,098 269,549 808,648 404,324 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152

More profiles

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