6067
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6068
- 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
- 6066
- Möbius Function
- -1
- Radical
- 6067
- 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
- 23
- 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
- 791
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=3A020437
- 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=9A031575
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=24A031808
- Upper prime of a difference of 14 between consecutive primes.at n=33A031933
- Primes that are concatenations of n with n + 7.at n=7A032630
- Primes with first digit 6.at n=25A045712
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=24A046012
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=42A047948
- Numbers n such that 265*2^n-1 is prime.at n=19A050891
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=12A052233
- Row sums of signed triangle A062137 (generalized Laguerre, a=3).at n=6A062146
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=23A074460
- a(n) = n + floor(Sum_{k<n} a(k)/2) with a(0)=0.at n=20A079719
- Primes of the form 9k^2 + 3k + 367, where k can be negative.at n=43A080020
- Diagonal of triangular spiral in A051682.at n=36A081268
- Magnanimous primes: primes with the property that inserting a "+" in any place between two digits yields a sum which is prime.at n=41A089392
- Numbers m such that placing as many possible '+' signs anywhere in between the digits yields a prime in every case. Let abcd... be the digits of m; then abcd, a + bcd, ab + cd, abc + d, a + b + cd, a + bc + d, ab + c + d, a + b + c + d, ... are all prime.at n=35A089695
- Zeros of the Mertens function that are also prime.at n=41A100669
- Number of different cuboids with volume (pq)^n, where p,q are distinct prime numbers.at n=18A101427
- In chess, the number of "at home" dual-free proof games in n plies.at n=14A102784