λ
Harmonic Matrix

4,587,520

217 × 5 × 7
Abundant Even Composite

4,587,520 has digital root 4. The neighboring primes are 4587503 and 4587533; its proper-divisor sum differs from the starting integer by 3,407,824.

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Prime Factor Structure

Factorization String 2^17 × 5 × 7
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,582,864
Proper Divisor Sum 7,995,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4587503 ← → #4587533

Radix Representation

Decimal 4587520
Binary 10001100000000000000000 (23 bits)
Octal 0o21400000
Hexadecimal 0x460000

Divisor Catalog (5 of 72)

1 2 4 5 7

Collatz Trajectory (30 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.

4,587,520 2,293,760 1,146,880 573,440 286,720

More profiles

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