λ
Harmonic Matrix

7,306,173

33 × 7 × 29 × 31 × 43
Deficient Odd Composite

7,306,173 has digital root 9. The neighboring primes are 7306151 and 7306177; its proper-divisor sum differs from the starting integer by -1,095,546.

Resources

JSON

Prime Factor Structure

Factorization String 3^3 × 7 × 29 × 31 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,516,800
Proper Divisor Sum 6,210,627
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7306151 ← → #7306177

Radix Representation

Decimal 7306173
Binary 11011110111101110111101 (23 bits)
Octal 0o33675675
Hexadecimal 0x6F7BBD

Divisor Catalog (5 of 64)

1 3 7 9 21

Collatz Trajectory (204 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.

7,306,173 21,918,520 10,959,260 5,479,630 2,739,815

More profiles

← Previous Integer #7,306,172 Browse Full Index Next Integer #7,306,174 →