λ
Harmonic Matrix

4,602,080

25 × 5 × 72 × 587
Abundant Even Composite

4,602,080 has digital root 2. The neighboring primes are 4602077 and 4602083; its proper-divisor sum differs from the starting integer by 3,464,888.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7^2 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,669,048
Proper Divisor Sum 8,066,968
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4602077 ← → #4602083

Radix Representation

Decimal 4602080
Binary 10001100011100011100000 (23 bits)
Octal 0o21434340
Hexadecimal 0x4638E0

Divisor Catalog (5 of 72)

1 2 4 5 7

Collatz Trajectory (193 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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