2754
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 6534
- Proper Divisor Sum (Aliquot Sum)
- 3780
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 864
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 159
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = (5*n+1)*(5*n+4).at n=10A001545
- Generalized Stirling numbers, [n+4,4]_3.at n=4A001711
- MacMahon's generalized sum of divisors function.at n=25A002127
- Degrees of irreducible representations of Janko group J3.at n=19A003906
- Number of walks on cubic lattice.at n=17A005570
- a(n) = n*(n+1)^2/2.at n=17A006002
- Inverse Moebius transform applied twice to squares.at n=35A007433
- Coordination sequence T1 for Zeolite Code BPH.at n=40A008055
- Coordination sequence T1 for Zeolite Code CON.at n=37A009868
- Coordination sequence T2 for Zeolite Code DFO.at n=40A009876
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=33A011257
- Weight distribution of [ 18,9,8 ] self-dual code over GF(4).at n=4A014487
- a(n) is the concatenation of n and 2n.at n=26A019550
- a(n) = n*(19*n + 1)/2.at n=17A022277
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=18A022767
- Fourth elementary symmetric function of 3,4,...,n+5.at n=1A024185
- n-th elementary symmetric function of 3,4,...,n+3.at n=3A024187
- a(n) = (n+1)*binomial(n+1,16).at n=2A027776
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=37A028724
- Numbers with 20 divisors.at n=37A030638