λ
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Atlas › Integer Profiles › Node 8,909,340

8,909,340

22 × 3 × 5 × 11 × 13499
Abundant Even Composite

8,909,340 factors as 2^2 × 3 × 5 × 11 × 13499. Its 48 positive divisors give a proper-divisor sum of 18,306,660, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 13499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,216,000
Proper Divisor Sum 18,306,660
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8909323 ← → #8909359

Radix Representation

Decimal 8909340
Binary 100001111111001000011100 (24 bits)
Octal 0o41771034
Hexadecimal 0x87F21C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 13,499 26,998 40,497 53,996 67,495 80,994 134,990 148,489 161,988 202,485 269,980 296,978 404,970 445,467 593,956 742,445 809,940 890,934 1,484,890 1,781,868 2,227,335 2,969,780 4,454,670 8,909,340

Collatz Trajectory (119 steps to reach 1)

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

8,909,340 4,454,670 2,227,335 6,682,006 3,341,003 10,023,010 5,011,505 15,034,516 7,517,258 3,758,629 11,275,888 5,637,944 2,818,972 1,409,486 704,743 2,114,230 1,057,115 3,171,346 1,585,673 4,757,020 2,378,510 1,189,255 3,567,766 1,783,883 5,351,650 2,675,825 8,027,476 4,013,738 2,006,869 6,020,608 3,010,304 1,505,152 752,576 376,288 188,144 94,072 47,036 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689 119,068 59,534 29,767 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513

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