λ
Harmonic Matrix

46,750

2 × 53 × 11 × 17
Abundant Even Composite

46,750 has digital root 4. The neighboring primes are 46747 and 46751; its proper-divisor sum differs from the starting integer by 7,588.

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Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,088
Proper Divisor Sum 54,338
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #46747 ← → #46751

Radix Representation

Decimal 46750
Binary 1011011010011110 (16 bits)
Octal 0o133236
Hexadecimal 0xB69E

Divisor Catalog (5 of 32)

1 2 5 10 11

Collatz Trajectory (70 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.

46,750 23,375 70,126 35,063 105,190

More profiles

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