λ
Harmonic Matrix

7,688,601

34 × 23 × 4127
Deficient Odd Composite

7,688,601 has digital root 9. The neighboring primes are 7688591 and 7688627; its proper-divisor sum differs from the starting integer by -3,389,490.

Resources

JSON

Prime Factor Structure

Factorization String 3^4 × 23 × 4127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,987,712
Proper Divisor Sum 4,299,111
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7688591 ← → #7688627

Radix Representation

Decimal 7688601
Binary 11101010101000110011001 (23 bits)
Octal 0o35250631
Hexadecimal 0x755199

Divisor Catalog (5 of 20)

1 3 9 23 27

Collatz Trajectory (111 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.

7,688,601 23,065,804 11,532,902 5,766,451 17,299,354

More profiles

← Previous Integer #7,688,600 Browse Full Index Next Integer #7,688,602 →