λ
Ratio Atlas

4,471,986

2 × 3 × 172 × 2579
Abundant Even Composite

4,471,986 factors as 2 × 3 × 17^2 × 2579. Its 24 positive divisors give a proper-divisor sum of 5,032,734, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,504,720
Proper Divisor Sum 5,032,734
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4471979 ← → #4471997

Radix Representation

Decimal 4471986
Binary 10001000011110010110010 (23 bits)
Octal 0o21036262
Hexadecimal 0x443CB2

Divisor Catalog (24)

1 2 3 6 17 34 51 102 289 578 867 1,734 2,579 5,158 7,737 15,474 43,843 87,686 131,529 263,058 745,331 1,490,662 2,235,993 4,471,986

Collatz Trajectory (87 steps to reach 1)

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

4,471,986 2,235,993 6,707,980 3,353,990 1,676,995 5,030,986 2,515,493 7,546,480 3,773,240 1,886,620 943,310 471,655 1,414,966 707,483 2,122,450 1,061,225 3,183,676 1,591,838 795,919 2,387,758 1,193,879 3,581,638 1,790,819 5,372,458 2,686,229 8,058,688 4,029,344 2,014,672 1,007,336 503,668 251,834 125,917 377,752 188,876 94,438 47,219 141,658 70,829 212,488 106,244 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788

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