λ
Math Directory

592,734

2 × 3 × 223 × 443
Abundant Even Composite

592,734 factors as 2 × 3 × 223 × 443. Its 16 positive divisors give a proper-divisor sum of 600,738, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 3 × 223 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,193,472
Proper Divisor Sum 600,738
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #592727 ← → #592741

Radix Representation

Decimal 592734
Binary 10010000101101011110 (20 bits)
Octal 0o2205536
Hexadecimal 0x90B5E

Divisor Catalog (16)

1 2 3 6 223 443 446 669 886 1,329 1,338 2,658 98,789 197,578 296,367 592,734

Collatz Trajectory (146 steps to reach 1)

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

592,734 296,367 889,102 444,551 1,333,654 666,827 2,000,482 1,000,241 3,000,724 1,500,362 750,181 2,250,544 1,125,272 562,636 281,318 140,659 421,978 210,989 632,968 316,484 158,242 79,121 237,364 118,682 59,341 178,024 89,012 44,506 22,253 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766

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