λ
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851,600

24 × 52 × 2129
Abundant Even Composite

851,600 factors as 2^4 × 5^2 × 2129. Its 30 positive divisors give a proper-divisor sum of 1,195,330, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 2129
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,046,930
Proper Divisor Sum 1,195,330
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #851597 ← → #851603

Radix Representation

Decimal 851600
Binary 11001111111010010000 (20 bits)
Octal 0o3177220
Hexadecimal 0xCFE90

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2,129 4,258 8,516 10,645 17,032 21,290 34,064 42,580 53,225 85,160 106,450 170,320 212,900 425,800 851,600

Collatz Trajectory (250 steps to reach 1)

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

851,600 425,800 212,900 106,450 53,225 159,676 79,838 39,919 119,758 59,879 179,638 89,819 269,458 134,729 404,188 202,094 101,047 303,142 151,571 454,714 227,357 682,072 341,036 170,518 85,259 255,778 127,889 383,668 191,834 95,917 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413

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