λ
Integer Codex

8,627,949

32 × 11 × 87151
Deficient Odd Composite

For 8,627,949, the 12 positive divisors have a total of 13,595,712. Removing 8,627,949 leaves 4,967,763, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 11 × 87151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,595,712
Proper Divisor Sum 4,967,763
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8627947 ← → #8627953

Radix Representation

Decimal 8627949
Binary 100000111010011011101101 (24 bits)
Octal 0o40723355
Hexadecimal 0x83A6ED

Divisor Catalog (5 of 12)

1 3 9 11 33

Collatz Trajectory (243 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,627,949 25,883,848 12,941,924 6,470,962 3,235,481

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