λ
Harmonic Matrix

5,018,949

33 × 13 × 79 × 181
Deficient Odd Composite

5,018,949 has digital root 9. The neighboring primes are 5018947 and 5018957; its proper-divisor sum differs from the starting integer by -1,884,298.

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Prime Factor Structure

Factorization String 3^3 × 13 × 79 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,153,600
Proper Divisor Sum 3,134,651
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5018947 ← → #5018957

Radix Representation

Decimal 5018949
Binary 10011001001010101000101 (23 bits)
Octal 0o23112505
Hexadecimal 0x4C9545

Divisor Catalog (5 of 32)

1 3 9 13 27

Collatz Trajectory (206 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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