λ
Harmonic Matrix

6,472,720

24 × 5 × 80909
Abundant Even Composite

6,472,720 has digital root 1. The neighboring primes are 6472679 and 6472721; its proper-divisor sum differs from the starting integer by 2,103,820.

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Prime Factor Structure

Factorization String 2^4 × 5 × 80909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,049,260
Proper Divisor Sum 8,576,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6472679 ← → #6472721

Radix Representation

Decimal 6472720
Binary 11000101100010000010000 (23 bits)
Octal 0o30542020
Hexadecimal 0x62C410

Divisor Catalog (5 of 20)

1 2 4 5 8

Collatz Trajectory (240 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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