λ
Modular Archive

8,046,090

2 × 32 × 5 × 132 × 232
Abundant Even Composite

The decimal integer 8,046,090 is 11110101100011000001010 in binary (23 bits), 36543012 in octal and 7AC60A in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13^2 × 23^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 23,680,566
Proper Divisor Sum 15,634,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8046061 ← → #8046107

Radix Representation

Decimal 8046090
Binary 11110101100011000001010 (23 bits)
Octal 0o36543012
Hexadecimal 0x7AC60A

Divisor Catalog (60 of 108)

1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 169 195 207 230 234 299 338 345 390 414 507 529 585 598 690 845 897 1,014 1,035 1,058 1,170 1,495 1,521 1,587 1,690 1,794 2,070 2,535 2,645 2,691 2,990 3,042 3,174 3,887 4,485 4,761

Collatz Trajectory (142 steps to reach 1)

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

8,046,090 4,023,045 12,069,136 6,034,568 3,017,284 1,508,642 754,321 2,262,964 1,131,482 565,741 1,697,224 848,612 424,306 212,153 636,460 318,230 159,115 477,346 238,673 716,020 358,010 179,005 537,016 268,508 134,254 67,127 201,382 100,691 302,074 151,037 453,112 226,556 113,278 56,639 169,918 84,959 254,878 127,439 382,318 191,159 573,478 286,739 860,218 430,109 1,290,328 645,164 322,582 161,291 483,874 241,937 725,812 362,906 181,453 544,360 272,180 136,090 68,045 204,136 102,068 51,034

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