λ
Harmonic Matrix

8,476,167

3 × 72 × 232 × 109
Deficient Odd Composite

8,476,167 has digital root 3. The neighboring primes are 8476159 and 8476177; its proper-divisor sum differs from the starting integer by -3,083,094.

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Prime Factor Structure

Factorization String 3 × 7^2 × 23^2 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,869,240
Proper Divisor Sum 5,393,073
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8476159 ← → #8476177

Radix Representation

Decimal 8476167
Binary 100000010101011000000111 (24 bits)
Octal 0o40253007
Hexadecimal 0x815607

Divisor Catalog (5 of 36)

1 3 7 21 23

Collatz Trajectory (155 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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