2070
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 5616
- Proper Divisor Sum (Aliquot Sum)
- 3546
- 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
- 528
- Möbius Function
- 0
- Radical
- 690
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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); sequence gives values of n where |P(n)| sets a new record.at n=27A000092
- a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=9A001621
- Generalized Stirling numbers, [n+6,6]_4.at n=3A001717
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=45A002378
- Squares written in base 9.at n=38A002442
- a(n) = 2*n*(2*n-1).at n=23A002939
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=22A003452
- Number of isonemal fabrics of period exactly n.at n=15A005441
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=51A007882
- Some permutation of digits is a factorial number.at n=33A007926
- Some nontrivial permutation of digits is a factorial number.at n=27A007927
- Coordination sequence T2 for Zeolite Code AST.at n=33A008037
- Coordination sequence T4 for Zeolite Code MEI.at n=33A008149
- Coordination sequence T3 for Zeolite Code MEP.at n=27A008159
- Coordination sequence T1 for Zeolite Code MFI.at n=29A008161
- Coordination sequence for A_9 lattice.at n=2A008393
- a(n) = n OR n^2 (applied to ternary expansions).at n=44A008467
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=53A008772
- Coordination sequence T1 for Zeolite Code RUT.at n=30A009897
- Positive nonsquare integers k such that each term of the regular continued fraction of sqrt(k) divides k.at n=44A013654