9052
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16576
- Proper Divisor Sum (Aliquot Sum)
- 7524
- 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
- 4320
- Möbius Function
- 0
- Radical
- 4526
- 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
- 39
- 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 1/n into 4 reciprocals of positive integers.at n=11A020327
- Number of partitions in parts not of the form 23k, 23k+3 or 23k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035991
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=31A046127
- T(n,n+3), array T given by A047000.at n=7A047008
- a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/5).at n=44A120172
- Lower triangular matrix T with first column and diagonal (1,2,3,4,...,n,...) and otherwise satisfying T(i,j) = Sum_{k=1..j} T(i-j+1,k)*T(j,k), read by rows.at n=47A135835
- Lower triangular matrix T with first column and diagonal (1,2,3,4,...,n,...) and otherwise satisfying T(i,j) = Sum_{k=1..j} T(i-j+1,k)*T(j,k), read by rows.at n=52A135835
- Column three of the triangular matrix in A135835.at n=7A135836
- Numbers k such that the string k modulo 1000 is found at position k in the decimal digits of Pi.at n=27A153226
- Parameters n for which the elliptic curve y^2=x^3+n has rank 4.at n=7A179124
- Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 10 integral solutions.at n=43A179153
- Numbers n such that d(n-2) = d(n) = d(n+2) = 12 where d(n)=A000005(n).at n=7A190645
- Number of 0..7 arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors.at n=2A200885
- T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors.at n=38A200886
- Number of 0..n arrays x(0..4) of 5 elements without any interior element greater than both neighbors.at n=6A200888
- Number of nX1 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=5A202909
- Number of nX6 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=0A202914
- T(n,k) = Number of n X k 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=15A202916
- T(n,k) = Number of n X k 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.at n=20A202916
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,2,2,1.at n=19A222108