7056
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 45
- Divisor Sum
- 22971
- Proper Divisor Sum (Aliquot Sum)
- 15915
- 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
- 2016
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- 31
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Squares of tetrahedral numbers: a(n) = binomial(n+3,n)^2.at n=6A001249
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=39A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=39A002706
- Discriminants of totally real quartic fields (see comments).at n=21A002769
- Smallest k such that sigma(x) = k has exactly n solutions.at n=27A007368
- Square the entries of Pascal's triangle.at n=51A008459
- Square the entries of Pascal's triangle.at n=48A008459
- Expansion of log(1+sinh(x)*cosh(x)).at n=7A009358
- Specific heat coefficients for square lattice spin 2 Ising model.at n=20A010112
- E.g.f.: log(sech(x)+sinh(x))=x-2/2!*x^2+6/3!*x^3-20/4!*x^4+120/5!*x^5...at n=7A013206
- Squares of elements in Pascal triangle (by row) that are not 1.at n=30A014719
- Squares of elements in Pascal triangle (by row) that are not 1.at n=33A014719
- Squares of elements to right of central element in Pascal triangle (by row) that are not 1.at n=13A014720
- Squares of elements to left of the central element in Pascal triangle (by row).at n=21A014721
- Squares of even elements in Pascal's triangle A007318.at n=17A014727
- Squares of even elements in Pascal's triangle A007318.at n=20A014727
- Squares of numbers in array formed from even elements to the right of middle of rows of Pascal triangle.at n=7A014762
- Squares of distinct elements in Pascal triangle.at n=18A014764
- Squares of even tetrahedral numbers (A015220).at n=5A014796
- Even squares: a(n) = (2*n)^2.at n=42A016742