λ
Harmonic Matrix

5,003,240

23 × 5 × 11 × 83 × 137
Abundant Even Composite

5,003,240 has digital root 5. The neighboring primes are 5003239 and 5003249; its proper-divisor sum differs from the starting integer by 2,512,880.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 83 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,519,360
Proper Divisor Sum 7,516,120
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5003239 ← → #5003249

Radix Representation

Decimal 5003240
Binary 10011000101011111101000 (23 bits)
Octal 0o23053750
Hexadecimal 0x4C57E8

Divisor Catalog (60 of 64)

Collatz Trajectory (113 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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