λ
Sigma Notebook

8,089,730

2 × 5 × 11 × 251 × 293
Deficient Even Composite

8,089,730 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 251 × 293 and its 32 divisors sum to 16,003,008.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 251 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,003,008
Proper Divisor Sum 7,913,278
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8089727 ← → #8089769

Radix Representation

Decimal 8089730
Binary 11110110111000010000010 (23 bits)
Octal 0o36670202
Hexadecimal 0x7B7082

Divisor Catalog (32)

1 2 5 10 11 22 55 110 251 293 502 586 1,255 1,465 2,510 2,761 2,930 3,223 5,522 6,446 13,805 16,115 27,610 32,230 73,543 147,086 367,715 735,430 808,973 1,617,946 4,044,865 8,089,730

Collatz Trajectory (186 steps to reach 1)

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

8,089,730 4,044,865 12,134,596 6,067,298 3,033,649 9,100,948 4,550,474 2,275,237 6,825,712 3,412,856 1,706,428 853,214 426,607 1,279,822 639,911 1,919,734 959,867 2,879,602 1,439,801 4,319,404 2,159,702 1,079,851 3,239,554 1,619,777 4,859,332 2,429,666 1,214,833 3,644,500 1,822,250 911,125 2,733,376 1,366,688 683,344 341,672 170,836 85,418 42,709 128,128 64,064 32,032 16,016 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

More profiles

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