8,422,165

5 × 47 × 35839

8,422,165 factors as 5 × 47 × 35839. Its 8 positive divisors give a proper-divisor sum of 1,899,755, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 5 × 47 × 35839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,321,920

Proper Divisor Sum 1,899,755

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8422153 ← → #8422181

Radix Representation

Decimal	8422165
Binary	100000001000001100010101 (24 bits)
Octal	0o40101425
Hexadecimal	0x808315

Divisor Catalog (8)

1 5 47 235 35,839 179,195 1,684,433 8,422,165

Collatz Trajectory (199 steps to reach 1)

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

8,422,165 25,266,496 12,633,248 6,316,624 3,158,312 1,579,156 789,578 394,789 1,184,368 592,184 296,092 148,046 74,023 222,070 111,035 333,106 166,553 499,660 249,830 124,915 374,746 187,373 562,120 281,060 140,530 70,265 210,796 105,398 52,699 158,098 79,049 237,148 118,574 59,287 177,862 88,931 266,794 133,397 400,192 200,096 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909

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