λ
Sigma Notebook

5,731,704

23 × 32 × 11 × 7237
Abundant Even Composite

5,731,704 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 11 × 7237 and its 48 divisors sum to 16,936,920.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 7237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,936,920
Proper Divisor Sum 11,205,216
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5731681 ← → #5731709

Radix Representation

Decimal 5731704
Binary 10101110111010101111000 (23 bits)
Octal 0o25672570
Hexadecimal 0x577578

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 7,237 14,474 21,711 28,948 43,422 57,896 65,133 79,607 86,844 130,266 159,214 173,688 238,821 260,532 318,428 477,642 521,064 636,856 716,463 955,284 1,432,926 1,910,568 2,865,852 5,731,704

Collatz Trajectory (126 steps to reach 1)

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

5,731,704 2,865,852 1,432,926 716,463 2,149,390 1,074,695 3,224,086 1,612,043 4,836,130 2,418,065 7,254,196 3,627,098 1,813,549 5,440,648 2,720,324 1,360,162 680,081 2,040,244 1,020,122 510,061 1,530,184 765,092 382,546 191,273 573,820 286,910 143,455 430,366 215,183 645,550 322,775 968,326 484,163 1,452,490 726,245 2,178,736 1,089,368 544,684 272,342 136,171 408,514 204,257 612,772 306,386 153,193 459,580 229,790 114,895 344,686 172,343 517,030 258,515 775,546 387,773 1,163,320 581,660 290,830 145,415 436,246 218,123

More profiles

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