λ
Harmonic Matrix

7,340,742

2 × 32 × 47 × 8677
Abundant Even Composite

7,340,742 has digital root 9. The neighboring primes are 7340731 and 7340743; its proper-divisor sum differs from the starting integer by 1,563,732.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 8677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,245,216
Proper Divisor Sum 8,904,474
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7340731 ← → #7340743

Radix Representation

Decimal 7340742
Binary 11100000000001011000110 (23 bits)
Octal 0o34001306
Hexadecimal 0x7002C6

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

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