5670
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 17424
- Proper Divisor Sum (Aliquot Sum)
- 11754
- 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
- 1296
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- 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
- 80
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=36A000092
- a(n) = (n+1)*(2*n)!/(2^n*n!) = (n+1)*(2n-1)!!.at n=5A001193
- Denominators of generalized Bernoulli numbers.at n=6A006568
- Triangle of coefficients in expansion of (1+3*x)^n.at n=40A013610
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=44A020333
- Expansion of Product_{m>=1} (1 + m*q^m)^15.at n=4A022643
- a(n) is the least k > 0 such that k and 3k are anagrams in base n (written in base 10).at n=32A023095
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=22A026063
- Cube of lower triangular normalized binomial matrix.at n=40A027465
- 9 times the triangular numbers A000217.at n=35A027468
- a(n) = 5*(n+1)*binomial(n+2, 5)/2.at n=5A027778
- a(n) = 3*(n+1)*binomial(n+2,6).at n=4A027779
- Number of T-frame polyominoes with n cells.at n=43A028247
- Expansion of 1/(1-3*x)^5; 5-fold convolution of A000244 (powers of 3).at n=4A036217
- Number of strings of n distinct digits from 0-9 that are the last n digits of a square in base 9.at n=4A036753
- Sparsely totient numbers; numbers n such that m > n implies phi(m) > phi(n).at n=40A036913
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5).at n=41A039860
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=37A043293
- Denominators of coefficients in Taylor series for exp(sin(x)).at n=9A047688
- Sums of consecutive noncubes.at n=4A048396