5380
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5960
- 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
- 2144
- Möbius Function
- 0
- Radical
- 2690
- 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
- 116
- 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 paraffins.at n=22A006001
- Number of unlabeled connected series-parallel posets with n nodes.at n=8A007453
- Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=56A036824
- Sums of 4 distinct powers of 4.at n=32A038472
- Base-9 palindromes that start with 7.at n=14A043034
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=17A045032
- Row 3 of array in A047666.at n=19A047667
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=24A049791
- Partial sums of the partition function (A000041), with the last term subtracted. Also the sum of the row of the character table for S_n corresponding to the partition n-1,1 for n>1. Also the sum over all partitions lambda of n of one less than the number of 1's in lambda.at n=25A058884
- Engel expansion of 1/e^2 = 0.135335... .at n=11A059194
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=24A063350
- Number of permutations satisfying i-2<=p(i)<=i+3, i=1..n.at n=9A072827
- Floor( phi * (3/2)^n ) where phi = (1+sqrt(5))/2.at n=20A081226
- Least k such that k*(Mersenne_prime(n)^2) + 1 is prime.at n=17A098819
- a(n) = Sum_{k=0..floor(n/3)} C(n-k,2*k) * 2^k * 4^(n-3*k).at n=6A099782
- Number of polyominoes consisting of 5 regular unit n-gons.at n=35A103471
- G.f. 1/((3*x-1)*(x^2-x-1)).at n=8A107361
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=35A110623
- a(n) = T(p(n)) - p(T(n)) = Commutator[triangular numbers, primes] at n.at n=32A123907
- Number of sequences {c(i), i=0..n} that form the initial terms of a self-convolution square of an integer sequence such that 0 < c(n) <= 2*c(n-1) for n>0 with c(0)=1.at n=7A132852