λ
Sigma Notebook

9,082,020

22 × 3 × 5 × 37 × 4091
Abundant Even Composite

9,082,020 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 37 × 4091 and its 48 divisors sum to 26,123,328.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 4091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,123,328
Proper Divisor Sum 17,041,308
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9081991 ← → #9082049

Radix Representation

Decimal 9082020
Binary 100010101001010010100100 (24 bits)
Octal 0o42512244
Hexadecimal 0x8A94A4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 2,220 4,091 8,182 12,273 16,364 20,455 24,546 40,910 49,092 61,365 81,820 122,730 151,367 245,460 302,734 454,101 605,468 756,835 908,202 1,513,670 1,816,404 2,270,505 3,027,340 4,541,010 9,082,020

Collatz Trajectory (119 steps to reach 1)

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

9,082,020 4,541,010 2,270,505 6,811,516 3,405,758 1,702,879 5,108,638 2,554,319 7,662,958 3,831,479 11,494,438 5,747,219 17,241,658 8,620,829 25,862,488 12,931,244 6,465,622 3,232,811 9,698,434 4,849,217 14,547,652 7,273,826 3,636,913 10,910,740 5,455,370 2,727,685 8,183,056 4,091,528 2,045,764 1,022,882 511,441 1,534,324 767,162 383,581 1,150,744 575,372 287,686 143,843 431,530 215,765 647,296 323,648 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601

More profiles

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