9336
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23400
- Proper Divisor Sum (Aliquot Sum)
- 14064
- 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
- 3104
- Möbius Function
- 0
- Radical
- 2334
- 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
- 34
- 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
- McKay-Thompson series of class 21A for Monster.at n=22A058563
- Maximal number of 132 patterns in a permutation of 1,2,...,n.at n=49A061061
- Partial sums of A001157: Sum_{j=1..n} sigma_2(j).at n=27A064602
- Numbers k such that k+1, k^2+1 and k^4+1 are primes.at n=31A070325
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, 0), (0, -1), (1, -1), (1, 0), (1, 1)}.at n=7A151303
- a(1)=4. a(n+1) = a(n)+d-1, where d is the smallest prime divisor of (a(n)-1)*(a(n)+1).at n=43A177929
- Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k UDUD's, where U=(1,1) and D=(1,-1).at n=66A191791
- Number of length n left factors of Dyck paths having no UDUD's; here U=(1,1) and D=(1,-1).at n=17A191792
- Concatenate n-th composite integer with concatenation of its prime factors in ascending order and the sum of its prime factors.at n=3A245316
- Number of ternary words of length n in which all digits 0..2 occur in every subword of 4 consecutive digits.at n=13A248959
- Rocket sequence 50: a(0)=50, a(n)=A073846(a(n-1)).at n=42A262149
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 329", based on the 5-celled von Neumann neighborhood.at n=23A271275
- Number of nX3 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=7A279153
- T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=47A279158
- T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=52A279158
- Numbers k such that k - 13, k + 1, k + 5, k + 7, and k + 13 are all prime.at n=5A281937
- Number of non-isomorphic non-normal semi-magic square multiset partitions of weight n.at n=27A321721
- Indices of unique values in A329152.at n=11A333268
- Sum of the areas of all r X s rectangles such that r < s, r + s = 2n and (s - r) | (s * r).at n=39A333754
- Number of fault-free tilings of a 3 X n rectangle with squares and dominoes.at n=12A334396