λ
Harmonic Matrix

592,458

2 × 3 × 19 × 5197
Abundant Even Composite

592,458 has digital root 6. The neighboring primes are 592453 and 592463; its proper-divisor sum differs from the starting integer by 62,604.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 5197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,247,520
Proper Divisor Sum 655,062
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #592453 ← → #592463

Radix Representation

Decimal 592458
Binary 10010000101001001010 (20 bits)
Octal 0o2205112
Hexadecimal 0x90A4A

Divisor Catalog (16)

1 2 3 6 19 38 57 114 5,197 10,394 15,591 31,182 98,743 197,486 296,229 592,458

Collatz Trajectory (159 steps to reach 1)

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

592,458 296,229 888,688 444,344 222,172 111,086 55,543 166,630 83,315 249,946 124,973 374,920 187,460 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107

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