λ
Sigma Notebook

8,489,436

22 × 3 × 67 × 10559
Abundant Even Composite

8,489,436 is even and not a perfect square. Its factorization is 2^2 × 3 × 67 × 10559 and its 24 divisors sum to 20,106,240.

Prime Factor Structure

Factorization String 2^2 × 3 × 67 × 10559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,106,240
Proper Divisor Sum 11,616,804
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8489423 ← → #8489441

Radix Representation

Decimal 8489436
Binary 100000011000100111011100 (24 bits)
Octal 0o40304734
Hexadecimal 0x8189DC

Divisor Catalog (24)

1 2 3 4 6 12 67 134 201 268 402 804 10,559 21,118 31,677 42,236 63,354 126,708 707,453 1,414,906 2,122,359 2,829,812 4,244,718 8,489,436

Collatz Trajectory (75 steps to reach 1)

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

8,489,436 4,244,718 2,122,359 6,367,078 3,183,539 9,550,618 4,775,309 14,325,928 7,162,964 3,581,482 1,790,741 5,372,224 2,686,112 1,343,056 671,528 335,764 167,882 83,941 251,824 125,912 62,956 31,478 15,739 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7

More profiles

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