λ
Integer Codex

3,735,340

22 × 5 × 7 × 26681
Abundant Even Composite

For 3,735,340, the 24 positive divisors have a total of 8,965,152. Removing 3,735,340 leaves 5,229,812, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 26681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,965,152
Proper Divisor Sum 5,229,812
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3735323 ← → #3735341

Radix Representation

Decimal 3735340
Binary 1110001111111100101100 (22 bits)
Octal 0o16177454
Hexadecimal 0x38FF2C

Divisor Catalog (5 of 24)

1 2 4 5 7

Collatz Trajectory (172 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.

3,735,340 1,867,670 933,835 2,801,506 1,400,753

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