8,632,664

2³ × 83 × 13001

For 8,632,664, the 16 positive divisors have a total of 16,382,520. Removing 8,632,664 leaves 7,749,856, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 83 × 13001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,382,520

Proper Divisor Sum 7,749,856

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8632661 ← → #8632667

Radix Representation

Decimal	8632664
Binary	100000111011100101011000 (24 bits)
Octal	0o40734530
Hexadecimal	0x83B958

Divisor Catalog (16)

1 2 4 8 83 166 332 664 13,001 26,002 52,004 104,008 1,079,083 2,158,166 4,316,332 8,632,664

Collatz Trajectory (106 steps to reach 1)

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

8,632,664 4,316,332 2,158,166 1,079,083 3,237,250 1,618,625 4,855,876 2,427,938 1,213,969 3,641,908 1,820,954 910,477 2,731,432 1,365,716 682,858 341,429 1,024,288 512,144 256,072 128,036 64,018 32,009 96,028 48,014 24,007 72,022 36,011 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254

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