λ
Integer Codex

6,381,440

27 × 5 × 132 × 59
Abundant Even Composite

For 6,381,440, the 96 positive divisors have a total of 16,799,400. Removing 6,381,440 leaves 10,417,960, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 5 × 13^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 16,799,400
Proper Divisor Sum 10,417,960
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6381437 ← → #6381457

Radix Representation

Decimal 6381440
Binary 11000010101111110000000 (23 bits)
Octal 0o30257600
Hexadecimal 0x615F80

Divisor Catalog (60 of 96)

Collatz Trajectory (103 steps to reach 1)

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

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