λ
Harmonic Matrix

4,706,936

23 × 13 × 45259
Abundant Even Composite

4,706,936 has digital root 8. The neighboring primes are 4706917 and 4706939; its proper-divisor sum differs from the starting integer by 90,728.

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Prime Factor Structure

Factorization String 2^3 × 13 × 45259
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,504,600
Proper Divisor Sum 4,797,664
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4706917 ← → #4706939

Radix Representation

Decimal 4706936
Binary 10001111101001001111000 (23 bits)
Octal 0o21751170
Hexadecimal 0x47D278

Divisor Catalog (5 of 16)

1 2 4 8 13

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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