λ
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618,210

2 × 32 × 5 × 6869
Abundant Even Composite

618,210 factors as 2 × 3^2 × 5 × 6869. Its 24 positive divisors give a proper-divisor sum of 989,370, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 6869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,607,580
Proper Divisor Sum 989,370
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #618199 ← → #618227

Radix Representation

Decimal 618210
Binary 10010110111011100010 (20 bits)
Octal 0o2267342
Hexadecimal 0x96EE2

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 6,869 13,738 20,607 34,345 41,214 61,821 68,690 103,035 123,642 206,070 309,105 618,210

Collatz Trajectory (172 steps to reach 1)

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

618,210 309,105 927,316 463,658 231,829 695,488 347,744 173,872 86,936 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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