3093
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4128
- Proper Divisor Sum (Aliquot Sum)
- 1035
- 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
- 2060
- Möbius Function
- 1
- Radical
- 3093
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 123
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = 5^n - 2^n.at n=5A005057
- Number of semigroups of order n with 3 idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).at n=3A005591
- Number of elements in Z[ i ] whose 'smallest algorithm' is <= n.at n=8A006457
- Coordination sequence T3 for Zeolite Code MTT.at n=34A008191
- Molien series for A_6.at n=37A008629
- Expansion of log(1+x)*cosh(tan(x)).at n=7A009414
- Expansion of log(1+x)/cos(sinh(x)).at n=7A009426
- Powers of fifth root of 22 rounded up.at n=13A018179
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=18A020896
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right).at n=16A029503
- 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 36.at n=19A031534
- Number of partitions of n into parts not of the form 23k, 23k+9 or 23k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=27A035997
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=53A036854
- Numbers n such that string 9,3 occurs in the base 10 representation of n but not of n-1.at n=33A044425
- Numbers k such that the digit string 9,3 occurs in the base-10 representation of k but not of k+1.at n=33A044806
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=9A045306
- a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A048472.at n=8A048481
- Nonprime numbers n such that n and n-reversed (<>n and no leading zeros) have the same number of prime factors and these prime factors (palindromes allowed here) are also reversals of each other.at n=37A050702
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 8.at n=18A050957
- Expansion of (1-x^2)/(1 - x - 3*x^2 + 2*x^4).at n=11A052933