λ
Modular Archive

3,009,006

2 × 32 × 7 × 11 × 13 × 167
Abundant Even Composite

The decimal integer 3,009,006 is 1011011110100111101110 in binary (22 bits), 13364756 in octal and 2DE9EE in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 13 × 167
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 8,805,888
Proper Divisor Sum 5,796,882
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3008981 ← → #3009023

Radix Representation

Decimal 3009006
Binary 1011011110100111101110 (22 bits)
Octal 0o13364756
Hexadecimal 0x2DE9EE

Divisor Catalog (60 of 96)

1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 167 182 198 231 234 273 286 334 429 462 501 546 693 819 858 1,001 1,002 1,169 1,287 1,386 1,503 1,638 1,837 2,002 2,171 2,338 2,574 3,003 3,006 3,507 3,674 4,342 5,511 6,006

Collatz Trajectory (257 steps to reach 1)

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

3,009,006 1,504,503 4,513,510 2,256,755 6,770,266 3,385,133 10,155,400 5,077,700 2,538,850 1,269,425 3,808,276 1,904,138 952,069 2,856,208 1,428,104 714,052 357,026 178,513 535,540 267,770 133,885 401,656 200,828 100,414 50,207 150,622 75,311 225,934 112,967 338,902 169,451 508,354 254,177 762,532 381,266 190,633 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159 5,496,478 2,748,239 8,244,718 4,122,359

More profiles

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