9093
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13888
- Proper Divisor Sum (Aliquot Sum)
- 4795
- 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
- 5184
- Möbius Function
- -1
- Radical
- 9093
- Omega Function (Ω)
- 3
- 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
- 140
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=30A015724
- Every run of digits of n in base 6 has length 2.at n=32A033004
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049747.at n=30A049748
- Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0).at n=26A053592
- Numbers n such that n - reverse(n) = phi(n).at n=3A072393
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=37A073735
- Number of solutions to x^2 + y^2 + z^2 < n^2; number of lattice points inside a sphere of radius n.at n=13A078183
- Number of divisor chains of length n which begin with n ("anchored" divisor chains).at n=25A094097
- Numbers n such that a^r + b^r + c^r + ... is prime, where a*b*c* ... is the prime factorization of n and r is the product of the nonzero digits of n.at n=40A108697
- Number of free generators of degree n of symmetric polynomials in 5-noncommuting variables.at n=8A124293
- Number of toothpicks after n stages of 3-D toothpick structure defined in Comments.at n=24A170876
- Numbers that are the product of 3 distinct primes a,b and c, such that a+b+c, a^2+b^2+c^2 and a^3+b^3+c^3 are prime numbers.at n=15A176911
- Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments.at n=17A208181
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=2A208182
- Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing.at n=8A232791
- Numbers n such that the decimal digits of n-phi(n) are a permutation of those of n.at n=23A273799
- Ulam numbers k such that k/3 is also an Ulam number.at n=18A287212
- Where the zeros in A123066 occur.at n=37A321962
- Numbers k such that 341*2^k+1 is prime.at n=18A322963
- Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k^2 and (k+1)^2.at n=5A338391