2940
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
- 36
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 6636
- 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
- 672
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=49A000223
- Restricted permutations.at n=12A000496
- a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=14A005582
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=40A006501
- Coordination sequence T3 for Zeolite Code AEI.at n=41A008003
- Coordination sequence T1 for Zeolite Code ANA.at n=35A008031
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4).at n=58A008218
- Theta series of A_5 lattice.at n=19A008445
- Expansion of e.g.f.: cos(sinh(x)*log(1+x)).at n=7A009062
- Coordination sequence T1 for Zeolite Code RTE.at n=37A009890
- Coordination sequence T5 for Zeolite Code VET.at n=33A009906
- a(n) = n^2*(n+1).at n=14A011379
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=25A011801
- Expansion of e.g.f. cos(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7...at n=7A012308
- Expansion of e.g.f. sech(arcsin(x)*log(x+1)).at n=7A012315
- E.g.f.: sech(sinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7...at n=7A012518
- Product of 3 successive Catalan numbers.at n=3A014228
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=4A014895
- a(n) = (2*n - 13)*n^2.at n=14A015246
- Expansion of 1/((1-x)(1-4x)(1-7x)(1-8x)).at n=3A021854