λ
Harmonic Matrix

6,311,744

26 × 98621
Deficient Even Composite

6,311,744 has digital root 8. The neighboring primes are 6311713 and 6311759; its proper-divisor sum differs from the starting integer by -98,494.

Prime Factor Structure

Factorization String 2^6 × 98621
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 12,524,994
Proper Divisor Sum 6,213,250
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6311713 ← → #6311759

Radix Representation

Decimal 6311744
Binary 11000000100111101000000 (23 bits)
Octal 0o30047500
Hexadecimal 0x604F40

Divisor Catalog (14)

1 2 4 8 16 32 64 98,621 197,242 394,484 788,968 1,577,936 3,155,872 6,311,744

Collatz Trajectory (165 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,311,744 3,155,872 1,577,936 788,968 394,484 197,242 98,621 295,864 147,932 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188

More profiles

← Previous Integer #6,311,743 Browse Full Index Next Integer #6,311,745 →