6554
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 3706
- 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
- 3136
- Möbius Function
- -1
- Radical
- 6554
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=18A001936
- Expansion of 1/((1-2*x)*(1+x^2)).at n=13A007910
- Nearest integer to Gamma(n + 5/11)/Gamma(5/11).at n=8A020010
- a(n) = floor(Gamma(n+5/11)/Gamma(5/11)).at n=8A020055
- Convolution of odd numbers and primes.at n=18A023662
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=22A026049
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=23A031419
- Numbers having three 8's in base 9.at n=26A043487
- Numbers whose base-3 representation contains exactly one 0 and no 1's.at n=27A044970
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=6A045104
- McKay-Thompson series of class 21C for the Monster group.at n=20A058565
- a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 1.at n=24A061511
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 20.at n=17A068041
- Expansion of (1-x)^(-1)/(1-x+2*x^3).at n=27A077870
- Expansion of (1-x)^(-1)/(1-x+2*x^3).at n=25A077870
- Expansion of (1-x)/(1-x+2*x^3).at n=30A078014
- Expansion of q^(-1/4) * (eta(q) * eta(q^4)^2 / eta(q^2)^3)^2 in powers of q.at n=18A079006
- Sum of n-th antidiagonal of array in A082002.at n=18A082005
- Record values in A091023.at n=7A091052
- Expansion of (2-x-2*x^2-x^3)/(1-x-x^2)^2.at n=15A102702