λ
Harmonic Matrix

5,106,629

11 × 37 × 12547
Deficient Odd Composite

5,106,629 has digital root 2. The neighboring primes are 5106617 and 5106631; its proper-divisor sum differs from the starting integer by -4,491,370.

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Prime Factor Structure

Factorization String 11 × 37 × 12547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,721,888
Proper Divisor Sum 615,259
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5106617 ← → #5106631

Radix Representation

Decimal 5106629
Binary 10011011110101111000101 (23 bits)
Octal 0o23365705
Hexadecimal 0x4DEBC5

Divisor Catalog (5 of 8)

Collatz Trajectory (126 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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