λ
Harmonic Matrix

746,457

3 × 61 × 4079
Deficient Odd Composite

746,457 has digital root 6. The neighboring primes are 746429 and 746477; its proper-divisor sum differs from the starting integer by -481,074.

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Prime Factor Structure

Factorization String 3 × 61 × 4079
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,011,840
Proper Divisor Sum 265,383
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #746429 ← → #746477

Radix Representation

Decimal 746457
Binary 10110110001111011001 (20 bits)
Octal 0o2661731
Hexadecimal 0xB63D9

Divisor Catalog (5 of 8)

1 3 61 183 4,079

Collatz Trajectory (56 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.

746,457 2,239,372 1,119,686 559,843 1,679,530

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