λ
Harmonic Matrix

7,581,240

23 × 32 × 5 × 21059
Abundant Even Composite

7,581,240 has digital root 9. The neighboring primes are 7581179 and 7581253; its proper-divisor sum differs from the starting integer by 9,477,720.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 21059
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,640,200
Proper Divisor Sum 17,058,960
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7581179 ← → #7581253

Radix Representation

Decimal 7581240
Binary 11100111010111000111000 (23 bits)
Octal 0o34727070
Hexadecimal 0x73AE38

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (155 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.

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