λ
Harmonic Matrix

461,991

3 × 153997
Deficient Odd Composite

461,991 has digital root 3. The neighboring primes are 461983 and 462013; its proper-divisor sum differs from the starting integer by -307,990.

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Prime Factor Structure

Factorization String 3 × 153997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 615,992
Proper Divisor Sum 154,001
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #461983 ← → #462013

Radix Representation

Decimal 461991
Binary 1110000110010100111 (19 bits)
Octal 0o1606247
Hexadecimal 0x70CA7

Divisor Catalog (4)

Collatz Trajectory (187 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.

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