2994
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6000
- Proper Divisor Sum (Aliquot Sum)
- 3006
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 996
- Möbius Function
- -1
- Radical
- 2994
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=22A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=27A004785
- Coordination sequence T4 for Zeolite Code AFO.at n=36A008018
- Coordination sequence T4 for Zeolite Code MTW.at n=36A008199
- Coordination sequence T4 for Zeolite Code -CHI.at n=35A009849
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=42A011905
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=13A015988
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=33A020373
- 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 54.at n=7A031552
- Number of partitions satisfying (cn(1,5) = cn(4,5) = 0 and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=54A036825
- Base-5 palindromes that start with 4.at n=31A043009
- Numbers n such that string 9,4 occurs in the base 10 representation of n but not of n-1.at n=32A044426
- Numbers k such that string 9,4 occurs in the base 10 representation of k but not of k+1.at n=32A044807
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=5A045303
- Coordination sequence T1 for Zeolite Code ISV.at n=38A047958
- Numbers n such that 261*2^n-1 is prime.at n=23A050889
- Numbers m such that the Bernoulli number B_m has denominator 42.at n=43A051228
- Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.at n=34A051387
- Number of nonprimes <= prime(n)^2.at n=16A053683
- Number of balanced, adequate or average primes < 10^n.at n=5A055206