4210
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7596
- Proper Divisor Sum (Aliquot Sum)
- 3386
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1680
- Möbius Function
- -1
- Radical
- 4210
- Omega Function (Ω)
- 3
- 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
- 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
- 126
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Semi-meanders: number of ways a semi-infinite directed curve can cross a straight line n times.at n=10A000682
- Coordination sequence T1 for Zeolite Code APD.at n=43A008034
- Coordination sequence T1 for Zeolite Code PHI.at n=47A008227
- Coordination sequence T1 for Zeolite Code RTH.at n=45A009893
- Numbers k such that k | 13^k + 1.at n=17A015963
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=24A020356
- a(n) = n*(21*n + 1)/2.at n=20A022279
- Fibonacci sequence beginning 2, 28.at n=12A022376
- Arrange digits of squares in descending order.at n=32A028908
- Arrange digits of 2^n in descending order.at n=10A028910
- Numbers k such that the string 1,0 occurs in the base 10 representation of k but not of k-1.at n=41A044342
- Triangle of numbers of semi-meanders of order n with k components.at n=65A046726
- McKay-Thompson series of class 22A for Monster.at n=20A058567
- Number of fixed points in all 231-avoiding involutions in S_n.at n=10A059570
- Number of rotationally symmetric closed meanders of length 4n+2.at n=5A060206
- Least number k such that floor( k / digit reversal of k ) = n.at n=32A068779
- Number of n-node simple graphs having clique number 7.at n=9A077394
- Factorial expansions of the entries in A085216.at n=36A085218
- Factorial expansions of the entries in A085216.at n=7A085218
- Minimal values of m=a^2+b^2=c^2+d^2 for each x=a+b+c+d=6*p (p=any odd prime).at n=8A093194