1710
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
- 4680
- Proper Divisor Sum (Aliquot Sum)
- 2970
- 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
- 432
- Möbius Function
- 0
- Radical
- 570
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- a(n) = n*(n+3)/2.at n=57A000096
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=46A001149
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=17A005996
- a(n) = n*(n+1)*(n+8)/6.at n=19A006503
- Coordination sequence T1 for Zeolite Code MEI.at n=30A008146
- Coordination sequence T3 for Zeolite Code MEI.at n=30A008148
- Coordination sequence T1 for Coesite.at n=22A008267
- Theta series of A_5 lattice.at n=18A008445
- Dates of birth of Kings Louis I, II, ... of France.at n=14A008746
- Areas of Pythagorean triangles: numbers which can be the area of a right triangle with integer sides.at n=47A009112
- Coordination sequence T1 for Keatite.at n=23A009844
- Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.at n=42A010330
- a(n) = floor(n*(n-1)*(n-2)/4).at n=20A011886
- cosh(arctanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5...at n=6A013164
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=34A013583
- a(n) = n*(2*n-3).at n=30A014107
- Expansion of 1/(1-x^6-x^7-x^8-x^9).at n=50A017849
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=34A020991
- Number of partitions of n into parts of 19 kinds.at n=3A023017
- Convolution of natural numbers >= 3 and (Fib(2), Fib(3), Fib(4), ...).at n=10A023554