λ
Sigma Notebook

6,381,792

25 × 32 × 22159
Abundant Even Composite

6,381,792 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 22159 and its 36 divisors sum to 18,149,040.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 22159
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,149,040
Proper Divisor Sum 11,767,248
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6381761 ← → #6381799

Radix Representation

Decimal 6381792
Binary 11000010110000011100000 (23 bits)
Octal 0o30260340
Hexadecimal 0x6160E0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22,159 44,318 66,477 88,636 132,954 177,272 199,431 265,908 354,544 398,862 531,816 709,088 797,724 1,063,632 1,595,448 2,127,264 3,190,896 6,381,792

Collatz Trajectory (134 steps to reach 1)

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

6,381,792 3,190,896 1,595,448 797,724 398,862 199,431 598,294 299,147 897,442 448,721 1,346,164 673,082 336,541 1,009,624 504,812 252,406 126,203 378,610 189,305 567,916 283,958 141,979 425,938 212,969 638,908 319,454 159,727 479,182 239,591 718,774 359,387 1,078,162 539,081 1,617,244 808,622 404,311 1,212,934 606,467 1,819,402 909,701 2,729,104 1,364,552 682,276 341,138 170,569 511,708 255,854 127,927 383,782 191,891 575,674 287,837 863,512 431,756 215,878 107,939 323,818 161,909 485,728 242,864

More profiles

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