5540
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11676
- Proper Divisor Sum (Aliquot Sum)
- 6136
- 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
- 2208
- Möbius Function
- 0
- Radical
- 2770
- 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
- 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
- Coordination sequence T2 for Milarite.at n=46A008257
- T(n, 2*n-5), T given by A027960.at n=12A027967
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+3 or 16k-3.at n=51A036021
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=29A063354
- Triangle T(n,k) (1 <= k <= n) where the first column (T(n,1)) is the sequence of secant numbers A000364.at n=11A064670
- Numbers k such that A065608(k) is a square.at n=45A065063
- Numbers k such that k*primorial(2473)-1 is prime.at n=43A087832
- Number of positive words of length n in the monoid Br_5 of positive braids on 6 strands.at n=7A097552
- a(n) = Sum_{i=2..n} A055211(i).at n=41A097590
- Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n.at n=27A111036
- Expansion of -x*(x^6+3*x^5+2*x^4-2*x^3-4*x^2+4*x-1)/((1-x)^2*(1-2*x-x^2)^2).at n=10A111109
- Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n.at n=42A114165
- Numbers k such that both k and the k-th prime have nonincreasing digits.at n=30A116067
- Number of partitions of n into parts that are odd or == +- 4 mod 10.at n=40A134157
- Indices k such that A020503(k)=Phi[k](-4) is prime, where Phi is a cyclotomic polynomial.at n=36A138926
- Indices k such that A019322(k) = Phi[k](4) is prime, where Phi is a cyclotomic polynomial.at n=38A138934
- Partial sums of A003325.at n=26A139211
- Elias omega coded prime numbers represented in decimal.at n=12A147764
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 0)}.at n=8A148966
- Nonprimes formed by concatenation of the decimal digits of a nonprime and its index.at n=34A154507