λ
Harmonic Matrix

4,707,387

32 × 23 × 22741
Deficient Odd Composite

4,707,387 has digital root 9. The neighboring primes are 4707377 and 4707389; its proper-divisor sum differs from the starting integer by -2,319,270.

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Prime Factor Structure

Factorization String 3^2 × 23 × 22741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,095,504
Proper Divisor Sum 2,388,117
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4707377 ← → #4707389

Radix Representation

Decimal 4707387
Binary 10001111101010000111011 (23 bits)
Octal 0o21752073
Hexadecimal 0x47D43B

Divisor Catalog (5 of 12)

1 3 9 23 69

Collatz Trajectory (131 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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