λ
Harmonic Matrix

7,058,688

28 × 3 × 7 × 13 × 101
Abundant Even Composite

7,058,688 has digital root 6. The neighboring primes are 7058659 and 7058713; its proper-divisor sum differs from the starting integer by 9,233,280.

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Prime Factor Structure

Factorization String 2^8 × 3 × 7 × 13 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 23,350,656
Proper Divisor Sum 16,291,968
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7058659 ← → #7058713

Radix Representation

Decimal 7058688
Binary 11010111011010100000000 (23 bits)
Octal 0o32732400
Hexadecimal 0x6BB500

Divisor Catalog (5 of 144)

1 2 3 4 6

Collatz Trajectory (67 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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