λ
Harmonic Matrix

9,735,967

29 × 113 × 2971
Deficient Odd Composite

9,735,967 has digital root 1. The neighboring primes are 9735949 and 9735991; its proper-divisor sum differs from the starting integer by -9,307,694.

Link collection

External pages selected by the site administrator. These links are separate from the mathematical calculations below.

Download link list (JSON)

Prime Factor Structure

Factorization String 29 × 113 × 2971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,164,240
Proper Divisor Sum 428,273
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9735949 ← → #9735991

Radix Representation

Decimal 9735967
Binary 100101001000111100011111 (24 bits)
Octal 0o45107437
Hexadecimal 0x948F1F

Divisor Catalog (5 of 8)

Collatz Trajectory (163 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.

More profiles

Browse other published profiles and their separate link collections.

← Previous Integer #9,735,966 Browse Full Index Next Integer #9,735,968 →