λ
Harmonic Matrix

3,585,588

22 × 3 × 298799
Abundant Even Composite

3,585,588 has digital root 6. The neighboring primes are 3585581 and 3585611; its proper-divisor sum differs from the starting integer by 1,195,224.

Prime Factor Structure

Factorization String 2^2 × 3 × 298799
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,366,400
Proper Divisor Sum 4,780,812
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3585581 ← → #3585611

Radix Representation

Decimal 3585588
Binary 1101101011011000110100 (22 bits)
Octal 0o15533064
Hexadecimal 0x36B634

Divisor Catalog (12)

1 2 3 4 6 12 298,799 597,598 896,397 1,195,196 1,792,794 3,585,588

Collatz Trajectory (40 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,585,588 1,792,794 896,397 2,689,192 1,344,596 672,298 336,149 1,008,448 504,224 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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