λ
Sigma Notebook

1,209,080

23 × 5 × 167 × 181
Abundant Even Composite

1,209,080 is even and not a perfect square. Its factorization is 2^3 × 5 × 167 × 181 and its 32 divisors sum to 2,751,840.

Prime Factor Structure

Factorization String 2^3 × 5 × 167 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,751,840
Proper Divisor Sum 1,542,760
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1209079 ← → #1209083

Radix Representation

Decimal 1209080
Binary 100100111001011111000 (21 bits)
Octal 0o4471370
Hexadecimal 0x1272F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 167 181 334 362 668 724 835 905 1,336 1,448 1,670 1,810 3,340 3,620 6,680 7,240 30,227 60,454 120,908 151,135 241,816 302,270 604,540 1,209,080

Collatz Trajectory (248 steps to reach 1)

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

1,209,080 604,540 302,270 151,135 453,406 226,703 680,110 340,055 1,020,166 510,083 1,530,250 765,125 2,295,376 1,147,688 573,844 286,922 143,461 430,384 215,192 107,596 53,798 26,899 80,698 40,349 121,048 60,524 30,262 15,131 45,394 22,697 68,092 34,046 17,023 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610

More profiles

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