λ
Ratio Atlas

401,712

24 × 3 × 8369
Abundant Even Composite

401,712 factors as 2^4 × 3 × 8369. Its 20 positive divisors give a proper-divisor sum of 636,168, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 8369
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,037,880
Proper Divisor Sum 636,168
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #401711 ← → #401743

Radix Representation

Decimal 401712
Binary 1100010000100110000 (19 bits)
Octal 0o1420460
Hexadecimal 0x62130

Divisor Catalog (20)

Collatz Trajectory (68 steps to reach 1)

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

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