λ
Sigma Notebook

8,118,200

23 × 52 × 40591
Abundant Even Composite

8,118,200 is even and not a perfect square. Its factorization is 2^3 × 5^2 × 40591 and its 24 divisors sum to 18,875,280.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 40591
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,875,280
Proper Divisor Sum 10,757,080
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8118199 ← → #8118217

Radix Representation

Decimal 8118200
Binary 11110111101111110111000 (23 bits)
Octal 0o36757670
Hexadecimal 0x7BDFB8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 40,591 81,182 162,364 202,955 324,728 405,910 811,820 1,014,775 1,623,640 2,029,550 4,059,100 8,118,200

Collatz Trajectory (230 steps to reach 1)

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

8,118,200 4,059,100 2,029,550 1,014,775 3,044,326 1,522,163 4,566,490 2,283,245 6,849,736 3,424,868 1,712,434 856,217 2,568,652 1,284,326 642,163 1,926,490 963,245 2,889,736 1,444,868 722,434 361,217 1,083,652 541,826 270,913 812,740 406,370 203,185 609,556 304,778 152,389 457,168 228,584 114,292 57,146 28,573 85,720 42,860 21,430 10,715 32,146 16,073 48,220 24,110 12,055 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585

More profiles

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