λ
Harmonic Matrix

772,999

563 × 1373
Deficient Odd Composite

772,999 has digital root 7. The neighboring primes are 772991 and 773021; its proper-divisor sum differs from the starting integer by -771,062.

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Prime Factor Structure

Factorization String 563 × 1373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 774,936
Proper Divisor Sum 1,937
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #772991 ← → #773021

Radix Representation

Decimal 772999
Binary 10111100101110000111 (20 bits)
Octal 0o2745607
Hexadecimal 0xBCB87

Divisor Catalog (4)

Collatz Trajectory (87 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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