1952
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3906
- Proper Divisor Sum (Aliquot Sum)
- 1954
- 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
- 960
- Möbius Function
- 0
- Radical
- 122
- Omega Function (Ω)
- 6
- 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
- 24
- Smith Number
- yes
- 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
- Number of partitions of n, with two kinds of 1, 2, 3 and 4.at n=14A000710
- E.g.f.: Sum_{n >= 0} a(n) * x^(2*n) / (2*n)! = sin(x)^2 / cos(2*x).at n=3A000816
- E.g.f.: cos(x)^2 / cos(2x) = Sum_{n >= 0} a(n) * x^(2n) / (2n)!.at n=3A000819
- Expansion of (sin^2 x + sin x) /cos 2x.at n=6A000822
- E.g.f. cos(x)/(cos(x) - sin(x)).at n=6A000828
- Numbers k such that 25*4^k + 1 is prime.at n=22A002263
- Erroneous version of A210696.at n=7A005497
- Primitive pseudoperfect numbers.at n=31A006036
- Primitive nondeficient numbers.at n=26A006039
- Coordination sequence T5 for Zeolite Code MFI.at n=28A008168
- Coordination sequence T4 for Zeolite Code MTW.at n=29A008199
- Number of elements of order <= 2 in group of n X n upper triangular matrices over GF(2).at n=5A008964
- Expansion of tan(sinh(x).exp(x)).at n=6A009686
- Expansion of Product_{k>=1} (1-x^k)^64.at n=2A010841
- a(n) = n*(2*n-3).at n=32A014107
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=41A025207
- a(n) = sum of the numbers between the two n's in A026350.at n=41A026353
- Number of partitions of n into distinct parts, the least being even.at n=54A026833
- a(n) = Sum_{k=0..floor((n-3)/2)} T(n,k) * T(n,k+3), with T given by A026022.at n=5A027297
- Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^4.at n=43A028593