λ
Harmonic Matrix

8,696,135

5 × 7 × 248461
Deficient Odd Composite

8,696,135 has digital root 2. The neighboring primes are 8696123 and 8696137; its proper-divisor sum differs from the starting integer by -5,466,094.

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Prime Factor Structure

Factorization String 5 × 7 × 248461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,926,176
Proper Divisor Sum 3,230,041
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8696123 ← → #8696137

Radix Representation

Decimal 8696135
Binary 100001001011000101000111 (24 bits)
Octal 0o41130507
Hexadecimal 0x84B147

Divisor Catalog (5 of 8)

1 5 7 35 248,461

Collatz Trajectory (181 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.

8,696,135 26,088,406 13,044,203 39,132,610 19,566,305

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