442,208

2⁵ × 13 × 1063

442,208 has the prime decomposition 2^5 × 13 × 1063. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 1063

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 938,448

Proper Divisor Sum 496,240

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #442207 ← → #442217

Radix Representation

Decimal	442208
Binary	1101011111101100000 (19 bits)
Octal	0o1537540
Hexadecimal	0x6BF60

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 1,063 2,126 4,252 8,504 13,819 17,008 27,638 34,016 55,276 110,552 221,104 442,208

Collatz Trajectory (68 steps to reach 1)

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

442,208 221,104 110,552 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13

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