9162
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19890
- Proper Divisor Sum (Aliquot Sum)
- 10728
- 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
- 3048
- Möbius Function
- 0
- Radical
- 3054
- 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
- 153
- 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
- sin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8...at n=4A012433
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=22A023664
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=35A025000
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=44A031504
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=36A036002
- Base-8 palindromes that start with 2.at n=33A043022
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=38A043088
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=41A045940
- Numbers k such that (10^k + 2)/6 is prime.at n=25A076850
- Expansion of (1-x+x^2)/(1-2x+2x^2-x^3-x^4).at n=27A096750
- Numbers n such that 2*10^n-3 is prime.at n=16A102947
- Triangle read by rows, related to A108283.at n=46A108284
- Numbers n such that the sum of the digits of n^phi(n) is divisible by n.at n=18A109660
- Numbers k such that k, k+1, k+2 and k+3 are products of 4 primes.at n=2A124728
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (0, -1), (0, 1), (1, 0), (1, 1)}.at n=8A151455
- Difference between sum of largest parts and sum of smallest parts of all partitions of n into an even number of parts.at n=26A211881
- The number of distinct (up to unitary similarity) *-subalgebras of the n X n complex matrices.at n=16A215925
- Numbers k such that 3^k + 28 is prime.at n=27A219046
- Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.at n=3A230332
- Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.at n=2A230333