442,871

11 × 13 × 19 × 163

442,871 factors as 11 × 13 × 19 × 163. Its 16 positive divisors give a proper-divisor sum of 108,169, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 11 × 13 × 19 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 551,040

Proper Divisor Sum 108,169

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #442861 ← → #442879

Radix Representation

Decimal	442871
Binary	1101100000111110111 (19 bits)
Octal	0o1540767
Hexadecimal	0x6C1F7

Divisor Catalog (16)

1 11 13 19 143 163 209 247 1,793 2,119 2,717 3,097 23,309 34,067 40,261 442,871

Collatz Trajectory (143 steps to reach 1)

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

442,871 1,328,614 664,307 1,992,922 996,461 2,989,384 1,494,692 747,346 373,673 1,121,020 560,510 280,255 840,766 420,383 1,261,150 630,575 1,891,726 945,863 2,837,590 1,418,795 4,256,386 2,128,193 6,384,580 3,192,290 1,596,145 4,788,436 2,394,218 1,197,109 3,591,328 1,795,664 897,832 448,916 224,458 112,229 336,688 168,344 84,172 42,086 21,043 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810

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