λ
Harmonic Matrix

1,329,560

23 × 5 × 43 × 773
Abundant Even Composite

1,329,560 has digital root 8. The neighboring primes are 1329541 and 1329569; its proper-divisor sum differs from the starting integer by 405,920.

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Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,065,040
Proper Divisor Sum 1,735,480
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1329541 ← → #1329569

Radix Representation

Decimal 1329560
Binary 101000100100110011000 (21 bits)
Octal 0o5044630
Hexadecimal 0x144998

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (93 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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