λ
Harmonic Matrix

824,139

32 × 91571
Deficient Odd Composite

824,139 has digital root 9. The neighboring primes are 824137 and 824147; its proper-divisor sum differs from the starting integer by -457,842.

Prime Factor Structure

Factorization String 3^2 × 91571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,190,436
Proper Divisor Sum 366,297
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #824137 ← → #824147

Radix Representation

Decimal 824139
Binary 11001001001101001011 (20 bits)
Octal 0o3111513
Hexadecimal 0xC934B

Divisor Catalog (6)

Collatz Trajectory (113 steps to reach 1)

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

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