11197
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11198
- 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
- 11196
- Möbius Function
- -1
- Radical
- 11197
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- 1356
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=25A001275
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=28A020382
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=22A023273
- Lower prime of a pair of consecutive primes having a difference of 16.at n=37A031934
- Upper prime of a difference of 20 between consecutive primes.at n=20A031939
- Decimal concatenation of n-th lucky number and n-th prime number.at n=24A032604
- Numbers whose base-7 representation contains exactly four 4's.at n=15A043412
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=23A052357
- Starting positions of strings of three 9's in the decimal expansion of Pi.at n=8A083642
- Happy-go-Lucky primes: primes arising in A091431.at n=43A091432
- Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=24A106818
- Primes p such that p's set of distinct digits is {1,7,9}.at n=9A108384
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=38A116015
- Prime numbers, isolated from neighboring primes by more than 12.at n=25A137873
- Prime numbers, isolated from neighboring primes by >14.at n=15A137874
- Primes of the form 210k + 67.at n=27A140855
- Primes congruent to 23 mod 37.at n=37A142132
- Primes congruent to 4 mod 41.at n=33A142201
- Primes congruent to 17 mod 43.at n=33A142266
- Primes congruent to 11 mod 47.at n=29A142362