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Atlas › Integer Profiles › Node 8,570,210

8,570,210

2 × 5 × 11 × 17 × 4583
Abundant Even Composite

8,570,210 factors as 2 × 5 × 11 × 17 × 4583. Its 32 positive divisors give a proper-divisor sum of 9,252,382, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 17 × 4583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,822,592
Proper Divisor Sum 9,252,382
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8570209 ← → #8570231

Radix Representation

Decimal 8570210
Binary 100000101100010101100010 (24 bits)
Octal 0o40542542
Hexadecimal 0x82C562

Divisor Catalog (32)

1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1,870 4,583 9,166 22,915 45,830 50,413 77,911 100,826 155,822 252,065 389,555 504,130 779,110 857,021 1,714,042 4,285,105 8,570,210

Collatz Trajectory (168 steps to reach 1)

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

8,570,210 4,285,105 12,855,316 6,427,658 3,213,829 9,641,488 4,820,744 2,410,372 1,205,186 602,593 1,807,780 903,890 451,945 1,355,836 677,918 338,959 1,016,878 508,439 1,525,318 762,659 2,287,978 1,143,989 3,431,968 1,715,984 857,992 428,996 214,498 107,249 321,748 160,874 80,437 241,312 120,656 60,328 30,164 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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