10973
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10974
- 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
- 10972
- Möbius Function
- -1
- Radical
- 10973
- 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
- 117
- 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
- 1332
- 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 57.at n=19A020396
- a(n) = F(n+1) + c(n) where F(k) is k-th Fibonacci number and c(n) is n-th non-Fibonacci number.at n=19A022799
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=21A023284
- Primes that remain prime through 4 iterations of function f(x) = 5x + 4.at n=6A023314
- Upper prime of a difference of 16 between consecutive primes.at n=36A031935
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=19A050966
- Smaller of two consecutive primes whose sum is a cube.at n=2A061308
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=44A078784
- A nonsense sequence.at n=7A089689
- Lesser of consecutive primes whose sum is a perfect power (A001597).at n=17A091624
- Smallest number whose shortest Lucas chain is of length n.at n=20A104892
- Number of permutations of length n which avoid the patterns 321, 1342, 3124.at n=18A116718
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=22A119597
- a(n) = sum of n successive primes after the n-th prime.at n=38A131740
- Primes of the form 30x^2+30xy+53y^2.at n=38A140025
- Primes of the form 210k + 53.at n=27A140851
- Primes congruent to 21 mod 37.at n=31A142130
- Primes congruent to 26 mod 41.at n=38A142223
- Primes congruent to 8 mod 43.at n=32A142257
- Primes congruent to 22 mod 47.at n=30A142373