λ
Sigma Notebook

8,086,032

24 × 32 × 233 × 241
Abundant Even Composite

8,086,032 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 233 × 241 and its 60 divisors sum to 22,821,084.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 233 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 22,821,084
Proper Divisor Sum 14,735,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8086031 ← → #8086049

Radix Representation

Decimal 8086032
Binary 11110110110001000010000 (23 bits)
Octal 0o36661020
Hexadecimal 0x7B6210

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 241 466 482 699 723 932 964 1,398 1,446 1,864 1,928 2,097 2,169 2,796 2,892 3,728 3,856 4,194 4,338 5,592 5,784 8,388 8,676 11,184 11,568 16,776 17,352 33,552 34,704 56,153 112,306 168,459 224,612 336,918 449,224 505,377 673,836 898,448 1,010,754 1,347,672 2,021,508 2,695,344 4,043,016 8,086,032

Collatz Trajectory (186 steps to reach 1)

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

8,086,032 4,043,016 2,021,508 1,010,754 505,377 1,516,132 758,066 379,033 1,137,100 568,550 284,275 852,826 426,413 1,279,240 639,620 319,810 159,905 479,716 239,858 119,929 359,788 179,894 89,947 269,842 134,921 404,764 202,382 101,191 303,574 151,787 455,362 227,681 683,044 341,522 170,761 512,284 256,142 128,071 384,214 192,107 576,322 288,161 864,484 432,242 216,121 648,364 324,182 162,091 486,274 243,137 729,412 364,706 182,353 547,060 273,530 136,765 410,296 205,148 102,574 51,287

More profiles

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