λ
Harmonic Matrix

5,137,089

3 × 29 × 137 × 431
Deficient Odd Composite

5,137,089 has digital root 6. The neighboring primes are 5137057 and 5137123; its proper-divisor sum differs from the starting integer by -3,120,258.

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Prime Factor Structure

Factorization String 3 × 29 × 137 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,153,920
Proper Divisor Sum 2,016,831
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5137057 ← → #5137123

Radix Representation

Decimal 5137089
Binary 10011100110001011000001 (23 bits)
Octal 0o23461301
Hexadecimal 0x4E62C1

Divisor Catalog (5 of 16)

1 3 29 87 137

Collatz Trajectory (100 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.

5,137,089 15,411,268 7,705,634 3,852,817 11,558,452

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