λ
Sigma Notebook

5,715,684

22 × 34 × 13 × 23 × 59
Abundant Even Composite

5,715,684 is even and not a perfect square. Its factorization is 2^2 × 3^4 × 13 × 23 × 59 and its 120 divisors sum to 17,075,520.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 23 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 17,075,520
Proper Divisor Sum 11,359,836
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5715683 ← → #5715701

Radix Representation

Decimal 5715684
Binary 10101110011011011100100 (23 bits)
Octal 0o25633344
Hexadecimal 0x5736E4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 59 69 78 81 92 108 117 118 138 156 162 177 207 234 236 276 299 324 351 354 414 468 531 598 621 702 708 767 828 897 1,053 1,062 1,196 1,242 1,357 1,404 1,534 1,593 1,794 1,863 2,106 2,124 2,301

Collatz Trajectory (77 steps to reach 1)

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

5,715,684 2,857,842 1,428,921 4,286,764 2,143,382 1,071,691 3,215,074 1,607,537 4,822,612 2,411,306 1,205,653 3,616,960 1,808,480 904,240 452,120 226,060 113,030 56,515 169,546 84,773 254,320 127,160 63,580 31,790 15,895 47,686 23,843 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28

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