λ
Ratio Atlas
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560,118

2 × 3 × 13 × 43 × 167
Abundant Even Composite

560,118 factors as 2 × 3 × 13 × 43 × 167. Its 32 positive divisors give a proper-divisor sum of 681,738, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 43 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,241,856
Proper Divisor Sum 681,738
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #560117 ← → #560123

Radix Representation

Decimal 560118
Binary 10001000101111110110 (20 bits)
Octal 0o2105766
Hexadecimal 0x88BF6

Divisor Catalog (32)

1 2 3 6 13 26 39 43 78 86 129 167 258 334 501 559 1,002 1,118 1,677 2,171 3,354 4,342 6,513 7,181 13,026 14,362 21,543 43,086 93,353 186,706 280,059 560,118

Collatz Trajectory (115 steps to reach 1)

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

560,118 280,059 840,178 420,089 1,260,268 630,134 315,067 945,202 472,601 1,417,804 708,902 354,451 1,063,354 531,677 1,595,032 797,516 398,758 199,379 598,138 299,069 897,208 448,604 224,302 112,151 336,454 168,227 504,682 252,341 757,024 378,512 189,256 94,628 47,314 23,657 70,972 35,486 17,743 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553

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