λ
Harmonic Matrix

4,685,121

34 × 7 × 8263
Deficient Odd Composite

4,685,121 has digital root 9. The neighboring primes are 4685119 and 4685129; its proper-divisor sum differs from the starting integer by -1,370,690.

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Prime Factor Structure

Factorization String 3^4 × 7 × 8263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,999,552
Proper Divisor Sum 3,314,431
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4685119 ← → #4685129

Radix Representation

Decimal 4685121
Binary 10001110111110101000001 (23 bits)
Octal 0o21676501
Hexadecimal 0x477D41

Divisor Catalog (5 of 20)

1 3 7 9 21

Collatz Trajectory (193 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.

4,685,121 14,055,364 7,027,682 3,513,841 10,541,524

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