7017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 2343
- 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
- 4676
- Möbius Function
- 1
- Radical
- 7017
- 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
- 194
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=29A020395
- 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 54.at n=41A031552
- Numerators of continued fraction convergents to sqrt(862).at n=6A042664
- Numbers k that, when expressed in base 5 and then interpreted in base 8, give a multiple of k.at n=29A062930
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=39A069832
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=19A075893
- Numbers k such that (14*10^(k-1) - 41)/9 is a plateau prime.at n=6A082699
- {a(n)} is monotone increasing, with a(1)=1, a(2)=3 and, for n>2, a(n) is the smallest integer such that a(n) mod a(j) is never a(i) for any pair i,j with 1<=i<j<n.at n=40A100812
- Semiprimes (A001358) whose digit reversal is a pentagonal number (A000326).at n=15A115708
- a(n) = Sum_{k=0..floor(n/2)} binomial(n-k, floor((n-k)/2)).at n=14A129384
- Total number of restricted right truncatable primes in base n.at n=30A133757
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1010-1111-1000 pattern in any orientation.at n=9A146649
- Shorthand for A157035, the largest prime with 2^n digits.at n=10A157036
- a(n) = 242*n - 1.at n=28A157961
- a(n) = 58*n^2 - 1.at n=10A158668
- Number of matchings in the n-sun graph.at n=7A192856
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x>y*z+1.at n=11A212054
- Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}.at n=24A212757
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=25A216168
- Numbers k such that anti-phi(k) = anti-phi(k+1).at n=32A241003