λ
Harmonic Matrix

7,521,282

2 × 33 × 31 × 4493
Abundant Even Composite

7,521,282 has digital root 9. The neighboring primes are 7521281 and 7521287; its proper-divisor sum differs from the starting integer by 2,214,396.

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Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 4493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,256,960
Proper Divisor Sum 9,735,678
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7521281 ← → #7521287

Radix Representation

Decimal 7521282
Binary 11100101100010000000010 (23 bits)
Octal 0o34542002
Hexadecimal 0x72C402

Divisor Catalog (5 of 32)

1 2 3 6 9

Collatz Trajectory (80 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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