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618,200

23 × 52 × 11 × 281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,573,560
Proper Divisor Sum 955,360
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #618199 ← → #618227

Radix Representation

Decimal 618200
Binary 10010110111011011000 (20 bits)
Octal 0o2267330
Hexadecimal 0x96ED8

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 281 440 550 562 1,100 1,124 1,405 2,200 2,248 2,810 3,091 5,620 6,182 7,025 11,240 12,364 14,050 15,455 24,728 28,100 30,910 56,200 61,820 77,275 123,640 154,550 309,100 618,200

Collatz Trajectory (172 steps to reach 1)

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

618,200 309,100 154,550 77,275 231,826 115,913 347,740 173,870 86,935 260,806 130,403 391,210 195,605 586,816 293,408 146,704 73,352 36,676 18,338 9,169 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110

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