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876,200

23 × 52 × 13 × 337
Abundant Even Composite

876,200 factors as 2^3 × 5^2 × 13 × 337. Its 48 positive divisors give a proper-divisor sum of 1,324,180, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,200,380
Proper Divisor Sum 1,324,180
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #876199 ← → #876203

Radix Representation

Decimal 876200
Binary 11010101111010101000 (20 bits)
Octal 0o3257250
Hexadecimal 0xD5EA8

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 337 520 650 674 1,300 1,348 1,685 2,600 2,696 3,370 4,381 6,740 8,425 8,762 13,480 16,850 17,524 21,905 33,700 35,048 43,810 67,400 87,620 109,525 175,240 219,050 438,100 876,200

Collatz Trajectory (157 steps to reach 1)

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

876,200 438,100 219,050 109,525 328,576 164,288 82,144 41,072 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161

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