λ
Harmonic Matrix

4,527,636

22 × 3 × 307 × 1229
Abundant Even Composite

4,527,636 has digital root 6. The neighboring primes are 4527623 and 4527637; its proper-divisor sum differs from the starting integer by 1,552,248.

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Prime Factor Structure

Factorization String 2^2 × 3 × 307 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,607,520
Proper Divisor Sum 6,079,884
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4527623 ← → #4527637

Radix Representation

Decimal 4527636
Binary 10001010001011000010100 (23 bits)
Octal 0o21213024
Hexadecimal 0x451614

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (149 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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