442,842

2 × 3 × 23 × 3209

442,842 factors as 2 × 3 × 23 × 3209. Its 16 positive divisors give a proper-divisor sum of 481,638, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 3209

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 924,480

Proper Divisor Sum 481,638

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #442837 ← → #442843

Radix Representation

Decimal	442842
Binary	1101100000111011010 (19 bits)
Octal	0o1540732
Hexadecimal	0x6C1DA

Divisor Catalog (16)

1 2 3 6 23 46 69 138 3,209 6,418 9,627 19,254 73,807 147,614 221,421 442,842

Collatz Trajectory (218 steps to reach 1)

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

442,842 221,421 664,264 332,132 166,066 83,033 249,100 124,550 62,275 186,826 93,413 280,240 140,120 70,060 35,030 17,515 52,546 26,273 78,820 39,410 19,705 59,116 29,558 14,779 44,338 22,169 66,508 33,254 16,627 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858

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