λ
Harmonic Matrix

49,432

23 × 37 × 167
Deficient Even Composite

49,432 has digital root 4. The neighboring primes are 49429 and 49433; its proper-divisor sum differs from the starting integer by -3,104.

Prime Factor Structure

Factorization String 2^3 × 37 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 95,760
Proper Divisor Sum 46,328
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #49429 ← → #49433

Radix Representation

Decimal 49432
Binary 1100000100011000 (16 bits)
Octal 0o140430
Hexadecimal 0xC118

Divisor Catalog (16)

1 2 4 8 37 74 148 167 296 334 668 1,336 6,179 12,358 24,716 49,432

Collatz Trajectory (39 steps to reach 1)

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

49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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