11497
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11498
- 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
- 11496
- Möbius Function
- -1
- Radical
- 11497
- 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
- 81
- 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
- 1387
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=67A011907
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=7A020412
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=16A023283
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=27A036570
- Numbers n such that 265*2^n-1 is prime.at n=24A050891
- Smallest prime (or noncomposite) strictly greater than sum of previous terms (with a(0)=1).at n=13A064934
- Rounded volume of a regular octahedron with edge length n.at n=29A071400
- Prime sum of n-th group of successive primes in A073684.at n=40A073682
- Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=6A094459
- Primes connected to two primes by the (p+1)/2 and 2p-1 operators.at n=29A109835
- a(1)=2; a(n)=smallest prime not less than the sum of all previous terms.at n=13A112527
- Partial sum of Catalan numbers (A000108) multiplied by powers of 3.at n=5A112697
- Triangle built from partial sums of Catalan numbers A000108 multiplied by powers.at n=39A112705
- A variation on Flavius's sieves (A000960, A099207): Start with the Chen primes; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=29A118500
- a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 6*a(n - 4) + 3*a(n - 5).at n=22A122583
- Smallest number k such that M(n)^2-k*M(n)-1 is prime with M(n) = Mersenne primes = A000668(n).at n=19A139424
- Smallest prime p such that M(n)^2-p*M(n)-1 is prime with M(n)= Mersenne primes =A000668(n).at n=18A139428
- Primes of the form 28x^2+12xy+57y^2.at n=39A140621
- Primes congruent to 27 mod 37.at n=35A142136
- Primes congruent to 17 mod 41.at n=34A142214