4213
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4608
- Proper Divisor Sum (Aliquot Sum)
- 395
- 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
- 3820
- Möbius Function
- 1
- Radical
- 4213
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 82
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Generalized sum of divisors function.at n=47A002130
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=26A003154
- Numbers that are the sum of 4 positive 5th powers.at n=47A003349
- Powers of 3 written in base 8.at n=7A004662
- Riordan numbers: a(n) = (n-1)*(2*a(n-1) + 3*a(n-2))/(n+1).at n=12A005043
- Coordination sequence T1 for Zeolite Code AFG.at n=45A008012
- Coordination sequence T4 for Zeolite Code DOH.at n=40A008081
- Coordination sequence T2 for Zeolite Code -CHI.at n=41A009847
- a(n) = Sum_{k=1..n} k*phi(k).at n=26A011755
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=22A014088
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=17A020397
- Coordination sequence T1 for Zeolite Code MWW.at n=43A024986
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=29A030299
- Coordination sequence T3 for Zeolite Code AFN.at n=46A038401
- Numerators of continued fraction convergents to sqrt(711).at n=4A042368
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=43A043083
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=15A045027
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=19A045243
- Upper members of a "good pair" of the form (k, 2*k +- 1).at n=30A046862
- Honaker's triangle problem: form a triangle with base of length n, all entries different, all row sums equal; a(n) gives minimal row sum.at n=29A047837