17837
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17838
- 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
- 17836
- Möbius Function
- -1
- Radical
- 17837
- 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
- 48
- 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
- 2045
- 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 35.at n=30A020374
- Number of primes q such that phiter(q)=n where phiter(n)=A064415(n).at n=15A064674
- Lower twin primes with lower twin prime index.at n=19A088460
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=30A107312
- Numerators of partial alternating sums of Catalan numbers scaled by powers of 1/(5*3^2) = 1/45.at n=3A121008
- Primes congruent to 29 mod 53.at n=40A142559
- Primes congruent to 19 mod 59.at n=37A142746
- Primes congruent to 25 mod 61.at n=37A142823
- X-toothpick sequence on Z^3 lattice (see Comments for precise definition).at n=36A160170
- Primes p such that q = p^2 + p + 1 is an emirp.at n=29A178545
- Primes of the form (n^2+1)/26.at n=20A208292
- Numbers k such that 3^(m+3) == 9 (mod m) where m = (k-1)^2 - 1.at n=46A212912
- The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.at n=22A226692
- Number of (n+1) X (1+1) 0..2 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order rowwise and columnwise.at n=3A235560
- Number of (n+1)X(4+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise.at n=0A235563
- T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order rowwise and columnwise.at n=6A235565
- T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order rowwise and columnwise.at n=9A235565
- Primes whose base-7 representation also is the base-4 representation of a prime.at n=48A235617
- Number of (n+1)X(4+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise.at n=0A235782
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise.at n=6A235784