λ
Sigma Notebook

5,422,428

22 × 32 × 11 × 13693
Abundant Even Composite

5,422,428 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 11 × 13693 and its 36 divisors sum to 14,953,848.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,953,848
Proper Divisor Sum 9,531,420
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5422421 ← → #5422441

Radix Representation

Decimal 5422428
Binary 10100101011110101011100 (23 bits)
Octal 0o24536534
Hexadecimal 0x52BD5C

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 13,693 27,386 41,079 54,772 82,158 123,237 150,623 164,316 246,474 301,246 451,869 492,948 602,492 903,738 1,355,607 1,807,476 2,711,214 5,422,428

Collatz Trajectory (139 steps to reach 1)

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

5,422,428 2,711,214 1,355,607 4,066,822 2,033,411 6,100,234 3,050,117 9,150,352 4,575,176 2,287,588 1,143,794 571,897 1,715,692 857,846 428,923 1,286,770 643,385 1,930,156 965,078 482,539 1,447,618 723,809 2,171,428 1,085,714 542,857 1,628,572 814,286 407,143 1,221,430 610,715 1,832,146 916,073 2,748,220 1,374,110 687,055 2,061,166 1,030,583 3,091,750 1,545,875 4,637,626 2,318,813 6,956,440 3,478,220 1,739,110 869,555 2,608,666 1,304,333 3,913,000 1,956,500 978,250 489,125 1,467,376 733,688 366,844 183,422 91,711 275,134 137,567 412,702 206,351

More profiles

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