1997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 1998
- 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
- 1996
- Möbius Function
- -1
- Radical
- 1997
- 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
- 50
- 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
- 302
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 6 positive 5th powers.at n=46A003351
- Class 4+ primes (for definition see A005105).at n=34A005108
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=49A007529
- Primes of form n^2 + n + 17.at n=33A007635
- If a, b are in the sequence, so is ab+3.at n=46A009302
- a(n) = Sum_{k=1..n} k*phi(k).at n=20A011755
- Numbers in which every prefix (in base 10) is 1 or a prime.at n=52A012883
- Numbers such that every prefix and suffix is 1 or a prime.at n=25A012884
- Expansion of 1/((1-3x)*(1-6x)*(1-8x)).at n=3A017932
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=5A020362
- Smallest nonempty set S containing prime divisors of 9k+8 for each k in S.at n=48A020630
- Initial members of prime triples (p, p+2, p+6).at n=23A022004
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=25A023108
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=29A023244
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=34A023270
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=10A023301
- a(n) = [ a(n-1)/(sqrt(6) - 2) ], where a(0) = 1.at n=10A024557
- Position of n^3 + 9 in A024975.at n=25A024979
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=24A025202
- a(n) = floor(floor(S3)/floor(S1)); where S3 and S1 are, respectively, the third and first elementary symmetric functions of {log(k)}, k = 1,2,...,n.at n=37A025210