λ
Integer Codex

400,788

22 × 34 × 1237
Abundant Even Composite

For 400,788, the 30 positive divisors have a total of 1,048,586. Removing 400,788 leaves 647,798, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,048,586
Proper Divisor Sum 647,798
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #400759 ← → #400823

Radix Representation

Decimal 400788
Binary 1100001110110010100 (19 bits)
Octal 0o1416624
Hexadecimal 0x61D94

Divisor Catalog (5 of 30)

1 2 3 4 6

Collatz Trajectory (117 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.

400,788 200,394 100,197 300,592 150,296

More profiles

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