λ
Match Zalai

8,007,741

34 × 7 × 29 × 487
Deficient Odd Composite

8,007,741 factors as 3^4 × 7 × 29 × 487. Its 40 positive divisors give a proper-divisor sum of 6,163,779, so this integer is deficient. The Collatz stopping time is 142 steps.

Resources

JSON

Prime Factor Structure

Factorization String 3^4 × 7 × 29 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,171,520
Proper Divisor Sum 6,163,779
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8007733 ← → #8007743

Radix Representation

Decimal 8007741
Binary 11110100011000000111101 (23 bits)
Octal 0o36430075
Hexadecimal 0x7A303D

Divisor Catalog (5 of 40)

1 3 7 9 21

Collatz Trajectory (142 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.

8,007,741 24,023,224 12,011,612 6,005,806 3,002,903

More profiles

← Previous Integer #8,007,740 Browse Full Index Next Integer #8,007,742 →