2148
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2892
- 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
- 712
- Möbius Function
- 0
- Radical
- 1074
- Omega Function (Ω)
- 4
- 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
- 24
- 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
- Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.at n=7A002912
- Magnetization for cubic lattice.at n=10A002929
- Number of axially symmetric polyominoes with n cells.at n=14A006746
- Coordination sequence T4 for Zeolite Code AET.at n=32A008010
- Coordination sequence T5 for Zeolite Code EUO.at n=29A008100
- Coordination sequence T1 for Zeolite Code JBW.at n=31A008121
- Coordination sequence T6 for Zeolite Code MTT.at n=28A008194
- Coordination sequence T3 for Zeolite Code RTH.at n=32A009895
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (primes).at n=41A025077
- a(n) = floor(floor(S3)/floor(S1)); where S3 and S1 are, respectively, the third and first elementary symmetric functions of {log(k)}, k = 1,2,...,n.at n=38A025210
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=31A026062
- Triangle T read by rows: differences of Motzkin triangle (A026300).at n=62A026105
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 0, s(1) = 1, s(n) = 3, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-3), where T is the array defined in A026105.at n=7A026109
- Numbers whose set of base-8 digits is {1,4}.at n=25A032820
- Growth function (or coordination sequence) of the infinite cubic graph corresponding to the srs net (a(n) = number of nodes at distance n from a fixed node).at n=40A038620
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) and cn(1,5) + cn(4,5) <= cn(0,5) + cn(3,5).at n=32A039864
- Denominators of continued fraction convergents to sqrt(890).at n=7A042721
- Numbers having three 4's in base 8.at n=5A043439
- Numbers n such that string 4,4 occurs in the base 8 representation of n but not of n-1.at n=33A044223
- Numbers n such that string 4,6 occurs in the base 9 representation of n but not of n-1.at n=29A044293