λ
Integer Codex

3,407,768

23 × 7 × 13 × 31 × 151
Abundant Even Composite

For 3,407,768, the 64 positive divisors have a total of 8,171,520. Removing 3,407,768 leaves 4,763,752, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 31 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,171,520
Proper Divisor Sum 4,763,752
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3407753 ← → #3407771

Radix Representation

Decimal 3407768
Binary 1100111111111110011000 (22 bits)
Octal 0o14777630
Hexadecimal 0x33FF98

Divisor Catalog (60 of 64)

Collatz Trajectory (177 steps to reach 1)

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

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