2295
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2025
- 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
- 1152
- Möbius Function
- 0
- Radical
- 255
- 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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- no
- Odd
- yes
Appears in sequences
- Class numbers associated with terms of A001988.at n=18A001989
- The larger of a betrothed pair.at n=4A003503
- Betrothed (or quasi-amicable) numbers.at n=9A005276
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=16A005337
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=14A005564
- a(n) = floor(tau*a(n-1)) + floor(tau*a(n-2)) with a(0)=0 and a(1)=2.at n=10A005909
- Coordination sequence T3 for Zeolite Code BOG.at n=34A008051
- Coordination sequence T7 for Zeolite Code DDR.at n=30A008077
- Coordination sequence T1 for Zeolite Code PAU.at n=35A008219
- Coordination sequence T3 for Zeolite Code PAU.at n=35A008221
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=18A011942
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=18A013935
- Bachet's equation: X^2 + k = Y^3, k=999. The terms are values of X, corresponding Y are in A248481.at n=4A016107
- Expansion of 1/((1-3*x)*(1-12*x)).at n=3A016147
- Numbers k at which the fractional part of tan(k) reaches a record high.at n=13A019435
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=21A020441
- Irregular triangular array T read by rows: T(0,0) = 1, T(0,1) = T(0,2) = 0; T(1,0) = T(1,1) = T(1,2) = 1, T(1,3) = 0; for n >= 2, T(n,0) = 1, T(n,1) = T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 2,3,...,n+1 and T(n,n+2) = T(n-1,n) + T(n-1,n+1).at n=70A026323
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 4. Also a(n) = T(n,n-2), where T is the array in A026323.at n=7A026327
- Total number of self-dual binary codes of length 2n. Totally isotropic spaces of index n in symplectic geometry of dimension 2n.at n=4A028362
- a(n) = n*(n + 6).at n=45A028560