λ
Sigma Notebook

4,686,696

23 × 32 × 7 × 17 × 547
Abundant Even Composite

4,686,696 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 7 × 17 × 547 and its 96 divisors sum to 15,387,840.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 17 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 15,387,840
Proper Divisor Sum 10,701,144
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4686677 ← → #4686697

Radix Representation

Decimal 4686696
Binary 10001111000001101101000 (23 bits)
Octal 0o21701550
Hexadecimal 0x478368

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 547 612 714 952 1,071 1,094 1,224 1,428 1,641 2,142 2,188 2,856 3,282 3,829 4,284 4,376 4,923 6,564 7,658 8,568 9,299 9,846

Collatz Trajectory (180 steps to reach 1)

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

4,686,696 2,343,348 1,171,674 585,837 1,757,512 878,756 439,378 219,689 659,068 329,534 164,767 494,302 247,151 741,454 370,727 1,112,182 556,091 1,668,274 834,137 2,502,412 1,251,206 625,603 1,876,810 938,405 2,815,216 1,407,608 703,804 351,902 175,951 527,854 263,927 791,782 395,891 1,187,674 593,837 1,781,512 890,756 445,378 222,689 668,068 334,034 167,017 501,052 250,526 125,263 375,790 187,895 563,686 281,843 845,530 422,765 1,268,296 634,148 317,074 158,537 475,612 237,806 118,903 356,710 178,355

More profiles

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