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442,040

23 × 5 × 43 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,021,680
Proper Divisor Sum 579,640
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #442033 ← → #442061

Radix Representation

Decimal 442040
Binary 1101011111010111000 (19 bits)
Octal 0o1537270
Hexadecimal 0x6BEB8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 257 344 430 514 860 1,028 1,285 1,720 2,056 2,570 5,140 10,280 11,051 22,102 44,204 55,255 88,408 110,510 221,020 442,040

Collatz Trajectory (63 steps to reach 1)

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

442,040 221,020 110,510 55,255 165,766 82,883 248,650 124,325 372,976 186,488 93,244 46,622 23,311 69,934 34,967 104,902 52,451 157,354 78,677 236,032 118,016 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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