5388
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 7212
- 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
- 1792
- Möbius Function
- 0
- Radical
- 2694
- 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
- 67
- Smith Number
- yes
- 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 values of i^2+j^2+k^2+l^2 for i,j,k,l in [ 0,n ].at n=40A047801
- Numbers n such that 299*2^n-1 is prime.at n=11A050908
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=32A052477
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order four under binary matrix multiplication.at n=1A054467
- Barriers for bigomega(n): numbers n such that, for all m < n, m + bigomega(m) <= n.at n=32A068597
- Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005).at n=30A073535
- Number of partitions of n such that the set of odd parts has only one element.at n=40A090868
- Sum of largest parts of all partitions of n into odd parts.at n=32A092322
- Number of 6k+5 primes (A007528) in range [2^n,2^(n+1)].at n=16A095016
- Number of partitions of n into parts but with two kinds of parts of sizes 1 to 7.at n=16A103926
- Sum of the sides of ordered 2 X 2 prime squares.at n=30A105088
- a(n) = 6*a(n-1)-6*a(n-3)-a(n-4).at n=8A107375
- One fifth of the sum of the first n primes, when an integer.at n=19A112271
- Row sums of a Pascal-Fibonacci triangle.at n=11A114199
- a(n) = 216*n - 12.at n=24A154518
- Expansion of (1-x^2*c(x)^4)/(1-4*x*c(x)^2), c(x) the g.f. of A000108.at n=5A158197
- The first of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines.at n=37A169677
- Number of four-dimensional simplical toric diagrams with hypervolume n.at n=47A173824
- Self-convolution square-root of A005810, where A005810(n) = binomial(4*n,n).at n=5A208977
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n.at n=16A211140