442,808

2³ × 55351

442,808 factors as 2^3 × 55351. Its 8 positive divisors give a proper-divisor sum of 387,472, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 55351

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 830,280

Proper Divisor Sum 387,472

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #442807 ← → #442817

Radix Representation

Decimal	442808
Binary	1101100000110111000 (19 bits)
Octal	0o1540670
Hexadecimal	0x6C1B8

Divisor Catalog (8)

1 2 4 8 55,351 110,702 221,404 442,808

Collatz Trajectory (143 steps to reach 1)

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

442,808 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 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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