6203
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6204
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 6202
- Möbius Function
- -1
- Radical
- 6203
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 93
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 807
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of the reciprocal of the g.f. defining A039924.at n=16A003116
- If a, b in sequence, so is ab+7.at n=44A009312
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9).at n=21A013986
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=44A023264
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 77.at n=21A031575
- Multiplicity of highest weight (or singular) vectors associated with character chi_71 of Monster module.at n=46A034459
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=42A043085
- Primes with first digit 6.at n=41A045712
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=14A046014
- Primes such that the sum of the factorials of the digits is a perfect square.at n=20A052279
- Primes p such that p^7 reversed is also prime.at n=40A059700
- Primes of form p = 2 + Sum_{k = 1..m} k^2 for some m.at n=8A065244
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=27A073609
- Balanced primes of order three.at n=36A082078
- Smallest prime beginning with digit reversal of n and not included earlier.at n=25A089356
- Smallest prime ending (least significant side) in n if possible else beginning in n.at n=61A089754
- Primes which when multiplied by their largest digit and 1 is subtracted form another prime.at n=42A090195
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=36A093832
- Primes p such that 2^j+p^j are primes for j=0,2,4,8.at n=0A094494
- Greatest members p of prime triples (p-6, p-4, p).at n=45A098412