6941
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7584
- Proper Divisor Sum (Aliquot Sum)
- 643
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6300
- Möbius Function
- 1
- Radical
- 6941
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 106
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(binomial(n,3)/3).at n=51A011849
- Positive integers n such that 2^n == 2^11 (mod n).at n=67A015935
- a(n) = s(n+3)/5, where s is A024951.at n=11A024952
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=30A051963
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=26A052049
- A Ramanujan congruence modulo 5^2 related to partition numbers: a(n) = p(25n+24)/25 where p(k) is the k-th partition number.at n=1A072870
- a(n) = sum of n-th column in array in A100452.at n=19A100454
- Number of permutations of length n which avoid the patterns 1234, 4123, 4132.at n=8A116769
- a(n) = 15*n*(n+1) + 11.at n=21A132208
- Row sums of A138060.at n=24A138289
- Antidiagonal sums of the array A051776.at n=42A141395
- a(n) = (2*n - 1)*(24*n^2 - 42*n + 19).at n=5A160174
- Number of reduced words of length n in the Weyl group B_11.at n=6A161776
- Number of reduced words of length n in the Weyl group D_11.at n=6A162288
- Triangle giving number L(k,n) of isotopy classes of Latin rectangles.at n=25A162544
- Numbers k with squares that are concatenations k^2 = x//y such that x is an anagram of y.at n=3A162945
- a(n) = Sum_{d divides n} d*(n/d)^(d-1).at n=19A167531
- The function W_n(6) (see Borwein et al. reference for definition).at n=10A169711
- Number of n X n 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.at n=2A205155
- Number of n X 3 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.at n=2A205156