842,200

2³ × 5² × 4211

842,200 has digital root 7. The neighboring primes are 842183 and 842203; its proper-divisor sum differs from the starting integer by 274,180.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 4211

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,958,580

Proper Divisor Sum 1,116,380

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #842183 ← → #842203

Radix Representation

Decimal	842200
Binary	11001101100111011000 (20 bits)
Octal	0o3154730
Hexadecimal	0xCD9D8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 4,211 8,422 16,844 21,055 33,688 42,110 84,220 105,275 168,440 210,550 421,100 842,200

Collatz Trajectory (82 steps to reach 1)

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

842,200 421,100 210,550 105,275 315,826 157,913 473,740 236,870 118,435 355,306 177,653 532,960 266,480 133,240 66,620 33,310 16,655 49,966 24,983 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152

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