λ
Match Zalai

400,119

3 × 41 × 3253
Deficient Odd Composite

400,119 factors as 3 × 41 × 3253. Its 8 positive divisors give a proper-divisor sum of 146,553, so this integer is deficient. The Collatz stopping time is 91 steps.

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Prime Factor Structure

Factorization String 3 × 41 × 3253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 546,672
Proper Divisor Sum 146,553
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #400109 ← → #400123

Radix Representation

Decimal 400119
Binary 1100001101011110111 (19 bits)
Octal 0o1415367
Hexadecimal 0x61AF7

Divisor Catalog (5 of 8)

1 3 41 123 3,253

Collatz Trajectory (91 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.

400,119 1,200,358 600,179 1,800,538 900,269

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