7228
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13720
- Proper Divisor Sum (Aliquot Sum)
- 6492
- 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
- 3312
- Möbius Function
- 0
- Radical
- 3614
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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 with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=46A035562
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=22A045079
- a(n) = round(e^(Pi*sqrt(n))).at n=8A056580
- a(n) = floor(exp(Pi*sqrt(n))).at n=8A060456
- Sum of diagonal elements and those below it for a square matrix of integers, starting with 1.at n=11A066804
- a(n) = 4*(n^2 - n + 1).at n=42A112087
- Numbers n such that A064168(n) is prime.at n=59A123538
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (0, 1, 0), (1, 0, 1), (1, 1, -1)}.at n=7A150269
- a(n) = 2*(n^3 + n^2 + n - 1).at n=15A155120
- a(n) = a(n-1) + A073053(a(n-1)).at n=32A173578
- Number of ways to place n nonattacking composite pieces queen + rider[1,3] on an n X n chessboard.at n=17A189873
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{1+j mod i, 1+i mod j} (A204018).at n=30A204019
- Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=8A232872
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=46A232877
- Number of tilings of a 4 X n rectangle using T and Z tetrominoes.at n=14A233139
- Number T(n,k) of partitions of the k-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=23A255982
- Product of n and the total number of parts in all partitions of n. Also, product of n and the sum of largest parts of all partitions of n.at n=13A256010
- 27-gonal pyramidal numbers: a(n) = n*(n+1)*(25*n-22)/6.at n=12A256647
- Number of partitions of the 2-dimensional hypercube resulting from a sequence of n bisections, each of which splits any part perpendicular to any of the axes, such that each axis is used at least once.at n=4A258416
- Growth series for affine Coxeter group (or affine Weyl group) D_10.at n=6A266765