6173
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6174
- 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
- 6172
- Möbius Function
- -1
- Radical
- 6173
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 111
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 804
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Incorrect duplicate of A297408.at n=3A007355
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=13A020386
- Concatenation of n-th prime number and n-th lucky number.at n=17A032603
- Zeroless primes that remain prime if any digit is deleted.at n=21A034302
- Partial sums of primes congruent to 5 mod 6.at n=36A038361
- Primes with first digit 6.at n=38A045712
- Primes of the form k^2 + k + 11.at n=39A048059
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=35A048797
- Number of rooted trees with n nodes with every leaf at height 9.at n=17A048814
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=15A050266
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=17A050968
- Primes remaining prime if any digit is deleted (zeros allowed).at n=25A051362
- Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.at n=18A053736
- Numbers k such that k^12 == 1 (mod 13^3).at n=33A056086
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=33A057876
- Primes with 4 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d.at n=0A057880
- Smallest possible prime with at least n (from 2 to 10) distinct digits that remains prime (leading zeros not allowed) when all occurrences of its digits d are deleted.at n=2A057883
- Primes p such that p^7 reversed is also prime.at n=39A059700
- Smallest prime whose decimal expansion ends (nontrivially) with the n-th prime; or 0 if no such prime exists.at n=39A065112
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=36A067256