17467
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17468
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17466
- Möbius Function
- -1
- Radical
- 17467
- 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
- 53
- 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
- 2008
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=34A031838
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 3 (most significant digit on right).at n=7A061956
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=28A078852
- The quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} are listed in lexicographic order; for each quintuple, this sequence lists the smallest prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5), if such a prime exists.at n=18A078872
- Sorted version of A078872.at n=35A078873
- The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.at n=21A078874
- Sorted version of A078874.at n=28A078875
- Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,6,6).at n=3A078957
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=32A091362
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=27A091365
- Number of fib000 primes (A095085) in range ]2^n,2^(n+1)].at n=19A095065
- Smallest prime p such that p# + Mersenne-prime(n) is prime.at n=20A098567
- Smallest odd prime p such that n = (p - 1) / ord_p(2).at n=40A101208
- Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant.at n=8A104939
- Primes congruent to 3 mod 59.at n=34A142730
- Primes congruent to 21 mod 61.at n=33A142819
- Primes p such that p, p+4, p+10, p+22, p+24, p+42 are all primes.at n=10A144594
- Primes of the form 7*x^2 - 5*y^2, where x and y are successive natural numbers.at n=33A176557
- Primes p such that x^41 = 2 has a solution mod p, and p is congruent to 1 mod 41.at n=0A190758
- Number of length n left factors of Dyck paths having no UDUD's; here U=(1,1) and D=(1,-1).at n=18A191792