λ
Harmonic Matrix

5,076,775

52 × 11 × 18461
Deficient Odd Composite

5,076,775 has digital root 1. The neighboring primes are 5076763 and 5076787; its proper-divisor sum differs from the starting integer by -3,285,686.

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Prime Factor Structure

Factorization String 5^2 × 11 × 18461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,867,864
Proper Divisor Sum 1,791,089
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5076763 ← → #5076787

Radix Representation

Decimal 5076775
Binary 10011010111011100100111 (23 bits)
Octal 0o23273447
Hexadecimal 0x4D7727

Divisor Catalog (5 of 12)

1 5 11 25 55

Collatz Trajectory (105 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.

5,076,775 15,230,326 7,615,163 22,845,490 11,422,745

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