λ
Harmonic Matrix

7,723,013

7723013
Deficient Odd Prime

7,723,013 has digital root 5. The neighboring primes are 7723007 and 7723039; its proper-divisor sum differs from the starting integer by -7,723,012.

Resources

JSON

Prime Factor Structure

Factorization String 7723013
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,723,014
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7723007 ← → #7723039

Radix Representation

Decimal 7723013
Binary 11101011101100000000101 (23 bits)
Octal 0o35354005
Hexadecimal 0x75D805

Divisor Catalog (2)

Collatz Trajectory (72 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.

7,723,013 23,169,040 11,584,520 5,792,260 2,896,130

More profiles

← Previous Integer #7,723,012 Browse Full Index Next Integer #7,723,014 →