λ
Harmonic Matrix

7,375,692

22 × 3 × 53 × 11597
Abundant Even Composite

7,375,692 has digital root 3. The neighboring primes are 7375681 and 7375721; its proper-divisor sum differs from the starting integer by 2,784,792.

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Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 11597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,536,176
Proper Divisor Sum 10,160,484
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7375681 ← → #7375721

Radix Representation

Decimal 7375692
Binary 11100001000101101001100 (23 bits)
Octal 0o34105514
Hexadecimal 0x708B4C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (204 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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