λ
Integer Codex

9,211,840

26 × 5 × 11 × 2617
Abundant Even Composite

For 9,211,840, the 56 positive divisors have a total of 23,938,992. Removing 9,211,840 leaves 14,727,152, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 23,938,992
Proper Divisor Sum 14,727,152
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9211837 ← → #9211849

Radix Representation

Decimal 9211840
Binary 100011001000111111000000 (24 bits)
Octal 0o43107700
Hexadecimal 0x8C8FC0

Divisor Catalog (5 of 56)

1 2 4 5 8

Collatz Trajectory (194 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.

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