5810
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
- 16
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 6286
- 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
- 1968
- Möbius Function
- 1
- Radical
- 5810
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 49
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=22A005914
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=44A005918
- a(n) = n*(29*n + 1)/2.at n=20A022287
- Expansion of 1/((1-x)*(1-5*x)*(1-9*x)*(1-10*x)).at n=3A022845
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=40A035955
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=45A036031
- Convolution of A000108(n+1), n >= 0, (Catalan numbers) with A038845 (3-fold convolution of powers of 4).at n=4A041001
- Denominators of continued fraction convergents to sqrt(491).at n=8A041937
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 2.at n=46A050045
- Numbers n such that 137*2^n-1 is prime.at n=10A050594
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=17A057344
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=18A057344
- a(n) = A000203(n)^2 - A001157(n) - 2n = sigma(n)^2 - sigma_2(n) - 2n.at n=39A066294
- Expansion of (1+x*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=6A071715
- Sum of next n integer interprimes (cf. A024675).at n=12A075673
- Row sums of array A097306.at n=33A097307
- Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.at n=38A099154
- Number of points in the standard root system version of the D_3 (or f.c.c.) lattice having L_infinity norm n.at n=22A110907
- Coefficient of x^n in the (n+1)-th iteration of (x + x^2) for n>=1.at n=5A112320
- Number of binary sequences of length n containing exactly one subsequence 0000.at n=15A118898