4940
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 6820
- 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
- 1728
- Möbius Function
- 0
- Radical
- 2470
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 134
- 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
- Sum of cubes of primes dividing n.at n=50A005064
- Sum of cubes of odd primes dividing n.at n=50A005067
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=37A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=19A006331
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=39A006584
- Coordination sequence T1 for Zeolite Code BRE.at n=46A008058
- a(n) = floor(n*(n-1)*(n-2)/12).at n=40A011894
- Numbers with exactly 6 2's in their ternary expansion.at n=30A023704
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=37A023855
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=36A023856
- (d(n)-r(n))/5, where d = A008778 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=49A026053
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=50A035585
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=32A039866
- Numbers whose base-3 representation contains exactly two 0's and no 1's.at n=36A044975
- Denominator of b(n)-b(n+1), where b(n) = n/((n+1)(n+2)) = A026741/A045896.at n=36A051713
- Numbers k such that k | sigma_6(k).at n=26A055710
- Numbers n such that n and its reversal are both multiples of 13.at n=25A062903
- Numbers k such that k and its reversal are both multiples of 19.at n=15A062907
- Non-palindromic number and its reversal are both multiples of 13.at n=14A062912
- Non-palindromic number and its reversal are both multiples of 19.at n=7A062916