λ
Harmonic Matrix

8,707,840

28 × 5 × 6803
Abundant Even Composite

8,707,840 has digital root 7. The neighboring primes are 8707837 and 8707841; its proper-divisor sum differs from the starting integer by 3,445,384.

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Prime Factor Structure

Factorization String 2^8 × 5 × 6803
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,861,064
Proper Divisor Sum 12,153,224
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8707837 ← → #8707841

Radix Representation

Decimal 8707840
Binary 100001001101111100000000 (24 bits)
Octal 0o41157400
Hexadecimal 0x84DF00

Divisor Catalog (5 of 36)

1 2 4 5 8

Collatz Trajectory (124 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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