λ
Harmonic Matrix

4,760,727

3 × 29 × 54721
Deficient Odd Composite

4,760,727 has digital root 6. The neighboring primes are 4760719 and 4760759; its proper-divisor sum differs from the starting integer by -2,954,814.

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Prime Factor Structure

Factorization String 3 × 29 × 54721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,566,640
Proper Divisor Sum 1,805,913
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4760719 ← → #4760759

Radix Representation

Decimal 4760727
Binary 10010001010010010010111 (23 bits)
Octal 0o22122227
Hexadecimal 0x48A497

Divisor Catalog (5 of 8)

Collatz Trajectory (162 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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