842,850

2 × 3² × 5² × 1873

842,850 has digital root 9. The neighboring primes are 842819 and 842857; its proper-divisor sum differs from the starting integer by 579,966.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 1873

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,265,666

Proper Divisor Sum 1,422,816

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #842819 ← → #842857

Radix Representation

Decimal	842850
Binary	11001101110001100010 (20 bits)
Octal	0o3156142
Hexadecimal	0xCDC62

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1,873 3,746 5,619 9,365 11,238 16,857 18,730 28,095 33,714 46,825 56,190 84,285 93,650 140,475 168,570 280,950 421,425 842,850

Collatz Trajectory (69 steps to reach 1)

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

842,850 421,425 1,264,276 632,138 316,069 948,208 474,104 237,052 118,526 59,263 177,790 88,895 266,686 133,343 400,030 200,015 600,046 300,023 900,070 450,035 1,350,106 675,053 2,025,160 1,012,580 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26

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