λ
Harmonic Matrix

7,909,002

2 × 34 × 48821
Abundant Even Composite

7,909,002 has digital root 9. The neighboring primes are 7908991 and 7909003; its proper-divisor sum differs from the starting integer by 1,904,382.

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Prime Factor Structure

Factorization String 2 × 3^4 × 48821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,722,386
Proper Divisor Sum 9,813,384
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7908991 ← → #7909003

Radix Representation

Decimal 7909002
Binary 11110001010111010001010 (23 bits)
Octal 0o36127212
Hexadecimal 0x78AE8A

Divisor Catalog (5 of 20)

1 2 3 6 9

Collatz Trajectory (173 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.

7,909,002 3,954,501 11,863,504 5,931,752 2,965,876

More profiles

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