9368
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17580
- Proper Divisor Sum (Aliquot Sum)
- 8212
- 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
- 4680
- Möbius Function
- 0
- Radical
- 2342
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- a(n) = Sum_{k=0..m} (k+1) * A026022(n, k), where m=n for n=0,1 and m = floor((n+3)/2) for n >= 2.at n=11A027298
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=40A031521
- Sets of 4 consecutive numbers with equal number of divisors.at n=29A039665
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=29A045303
- Number of unlabeled 2-trees with n nodes.at n=11A054581
- Continued fraction for sqrt(2) / zeta(2).at n=40A063471
- Binomial transform of sinh(x)*cosh(sqrt(3)*x).at n=8A084156
- Number of planar partitions of n with exactly 2 rows.at n=19A091356
- Even numbers n such that n^2 is an arithmetic number.at n=42A107924
- One third of the sum of the first n primes, when an integer.at n=33A112270
- Triangle read by columns: number of n-node (unlabeled) connected graphs with girth k, for n >= 3, k >= 3.at n=29A128042
- Number of n-node (unlabeled) connected graphs with girth 4.at n=7A128241
- 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, 0), (0, 0, 1), (0, 1, 0), (1, 1, 0), (1, 1, 1)}.at n=6A151251
- A higher order recursion triangle sequence: m=4;l=4;e(n,k,m)=(l*k + m - 1)e(n - 1, k, m) + (m*n - l*k + 1 - m)e(n - 1, k - 1, m).at n=26A156280
- Number of binary strings of length n with equal numbers of 00100 and 01010 substrings.at n=14A164237
- The difference between the area under a peakless Motzkin path and the number of its U-steps, summed over all peakless Motzkin paths of length n (n>=0).at n=11A171851
- First of two consecutive numbers with at least one 3 in their prime signature.at n=46A176313
- Number of (n+1)X5 binary arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.at n=4A185793
- Number of (n+1)X6 binary arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.at n=3A185794
- T(n,k) = Number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock sum equal to any horizontal or vertical neighbor 2 X 2 subblock sum.at n=31A185798