2300
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 5208
- Proper Divisor Sum (Aliquot Sum)
- 2908
- 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
- 880
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 5
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=23A000292
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=12A000447
- Smallest number such that n-th iterate of Chowla function is 0.at n=15A002954
- Binomial coefficient C(5n+10,n).at n=3A004344
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=45A005232
- Bond percolation series for square lattice.at n=13A006727
- Coordination sequence T6 for Zeolite Code MTW.at n=31A008201
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=44A008804
- If a, b in sequence, so is ab+4.at n=39A009303
- Coordination sequence T1 for Zeolite Code -PAR.at n=34A009855
- Binomial coefficient C(25,n).at n=3A010941
- Binomial coefficient C(25,n).at n=22A010941
- a(n) = binomial(n,22).at n=3A010975
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=38A011904
- Number of close-packings with layer-number 3n and space group R3m.at n=11A011956
- Even tetrahedral numbers.at n=17A015220
- Expansion of 1/(1 - x^10 - x^11 - ...).at n=58A017904
- Numbers whose base-7 representation is the juxtaposition of two identical strings.at n=45A020335
- Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=13A022495
- Base 6 expansion uses each positive digit just once.at n=15A023744