2968
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 3512
- 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
- 1248
- Möbius Function
- 0
- Radical
- 742
- Omega Function (Ω)
- 5
- 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
- 48
- 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
- Number of different ways one can attack all squares on an n X n chessboard using the minimum number of queens.at n=15A002564
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=31A007333
- Coordination sequence T7 for Zeolite Code MEL.at n=35A008156
- Coordination sequence T1 for Zeolite Code SGT.at n=34A008229
- Coordination sequence T3 for Zeolite Code SGT.at n=34A008231
- Coordination sequence for sigma-CrFe, Position Xb.at n=14A009960
- Second coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=37A014046
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=39A015617
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=39A015620
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=31A022765
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026648.at n=16A026658
- a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is n-th diagonal sum of left-justified array T given by A027011.at n=18A027022
- Dirichlet convolution of primes (A000040) with themselves.at n=47A034696
- Maximal base 5 run length is 4.at n=31A037983
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=19A038637
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(1,5) + cn(4,5) + cn(3,5).at n=27A039902
- Denominators of continued fraction convergents to sqrt(878).at n=8A042697
- Numbers having four 3's in base 5.at n=19A043364
- Numbers n such that string 6,8 occurs in the base 10 representation of n but not of n-1.at n=32A044400
- Numbers n such that string 6,8 occurs in the base 10 representation of n but not of n+1.at n=32A044781