2345
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3264
- Proper Divisor Sum (Aliquot Sum)
- 919
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1584
- Möbius Function
- -1
- Radical
- 2345
- Omega Function (Ω)
- 3
- 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
- 151
- 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
- no
- Odd
- yes
Appears in sequences
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=25A000511
- Dimensions of the Jordan operad.at n=6A001776
- Expansion of (1+x^2)(1+x^4)/((1-x)^2*(1-x^2)*(1-x^3)).at n=27A007979
- Coordination sequence T1 for Zeolite Code SGT.at n=30A008229
- Expansion of (1-x^5) / (1-x)^5.at n=14A008487
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=54A008769
- Coordination sequence T1 for Zeolite Code VSV.at n=31A009914
- a(n) = n*(2*n-3).at n=35A014107
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=18A014303
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=18A015629
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A000201 (lower Wythoff sequence).at n=16A024593
- Every suffix prime and no 0 digits in base 6 (written in base 6).at n=30A024781
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=27A024854
- Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=10A027918
- a(n) = (2*n+1) * (4*n-1).at n=17A033566
- Concatenation of two or more consecutive positive integers.at n=31A035333
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=30A035947
- Numbers n such that string 5,1 occurs in the base 8 representation of n but not of n-1.at n=40A044228
- Numbers k such that the string 8,5 occurs in the base 9 representation of k but not of k-1.at n=31A044328
- Numbers n such that string 4,5 occurs in the base 10 representation of n but not of n-1.at n=25A044377