6197
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6198
- 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
- 6196
- Möbius Function
- -1
- Radical
- 6197
- 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
- 124
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 805
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Base-6 Armstrong or narcissistic numbers (written in base 10).at n=12A010348
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=3A020400
- Denominators of continued fraction convergents to sqrt(583).at n=6A042117
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=18A045288
- Primes with first digit 6.at n=39A045712
- Primes with multiplicative persistence value 5.at n=7A046505
- Integers n such that A047988(n)=3.at n=27A047986
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=43A050061
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=20A050666
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=13A050966
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=17A052163
- Primes q of form q=10p+7, where p is also prime.at n=29A055783
- Number of 7 X 7 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.at n=6A056079
- Lesser of twin primes whose average is 6 times a prime.at n=23A060213
- A060448 sorted and duplicates removed.at n=22A060636
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=22A063644
- Greatest prime factor of prime(n+1)^2 + prime(n)^2.at n=39A069485
- Primes > 100 in which every substring of length 2 is also prime.at n=39A069488
- Primes > 1000 in which every substring of lengths 2 and 3 are also prime.at n=5A069490
- a(1) = 1, a(n) = prime equal to n-th partial sum of A073852.at n=8A073854