λ
Sigma Notebook

6,820,550

2 × 52 × 11 × 12401
Abundant Even Composite

6,820,550 is even and not a perfect square. Its factorization is 2 × 5^2 × 11 × 12401 and its 24 divisors sum to 13,840,632.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 12401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,840,632
Proper Divisor Sum 7,020,082
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6820547 ← → #6820559

Radix Representation

Decimal 6820550
Binary 11010000001001011000110 (23 bits)
Octal 0o32011306
Hexadecimal 0x6812C6

Divisor Catalog (24)

1 2 5 10 11 22 25 50 55 110 275 550 12,401 24,802 62,005 124,010 136,411 272,822 310,025 620,050 682,055 1,364,110 3,410,275 6,820,550

Collatz Trajectory (134 steps to reach 1)

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

6,820,550 3,410,275 10,230,826 5,115,413 15,346,240 7,673,120 3,836,560 1,918,280 959,140 479,570 239,785 719,356 359,678 179,839 539,518 269,759 809,278 404,639 1,213,918 606,959 1,820,878 910,439 2,731,318 1,365,659 4,096,978 2,048,489 6,145,468 3,072,734 1,536,367 4,609,102 2,304,551 6,913,654 3,456,827 10,370,482 5,185,241 15,555,724 7,777,862 3,888,931 11,666,794 5,833,397 17,500,192 8,750,096 4,375,048 2,187,524 1,093,762 546,881 1,640,644 820,322 410,161 1,230,484 615,242 307,621 922,864 461,432 230,716 115,358 57,679 173,038 86,519 259,558

More profiles

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