1422
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3120
- Proper Divisor Sum (Aliquot Sum)
- 1698
- 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
- 468
- Möbius Function
- 0
- Radical
- 474
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Number of partitions of n if there are two kinds of 1's and two kinds of 2's.at n=15A000097
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=27A001522
- Related to Zarankiewicz's problem.at n=51A001841
- Maximal kissing number of n-dimensional laminated lattice.at n=14A002336
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=48A003113
- Representation degeneracies for boson strings.at n=21A005294
- Column of Motzkin triangle.at n=7A005322
- Coordination sequence T5 for Zeolite Code AET.at n=26A008011
- Coordination sequence T1 for Keatite.at n=21A009844
- Pisot sequence E(9,17), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=8A014004
- Coordination sequence T1 for Zeolite Code TER.at n=25A016433
- Coordination sequence T5 for Zeolite Code CGF.at n=26A019455
- A Motzkin triangle: a(n,k), n >= 2, 2 <= k <= n, = number of complete, strictly subdiagonal staircase functions.at n=75A020474
- Sum of digits in n-th term of A006711.at n=23A022480
- Expansion of 1/Product_{m>=1} (1 - m*q^m)^2.at n=8A022726
- Theta series of laminated lattice LAMBDA_14.at n=2A023937
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=29A024921
- Index of 8^n within the sequence of the numbers of the form 3^i*8^j (A025615).at n=38A025728
- a(n) = sum of the numbers between the two n's in A026242.at n=35A026271
- Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).at n=52A026300