λ
Integer Codex

414,317

409 × 1013
Deficient Odd Composite

For 414,317, the 4 positive divisors have a total of 415,740. Removing 414,317 leaves 1,423, which gives the deficient classification.

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Prime Factor Structure

Factorization String 409 × 1013
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 415,740
Proper Divisor Sum 1,423
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #414313 ← → #414329

Radix Representation

Decimal 414317
Binary 1100101001001101101 (19 bits)
Octal 0o1451155
Hexadecimal 0x6526D

Divisor Catalog (4)

1 409 1,013 414,317

Collatz Trajectory (143 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.

414,317 1,242,952 621,476 310,738 155,369

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