9491
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9492
- 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
- 9490
- Möbius Function
- -1
- Radical
- 9491
- 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
- 52
- 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
- 1176
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of transitive permutation groups of degree n.at n=41A002106
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=26A020417
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=9A031595
- Multiplicity of highest weight (or singular) vectors associated with character chi_167 of Monster module.at n=38A034555
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=21A052232
- a(n) is smallest prime > 3*a(n-1), a(1) = 3.at n=7A065540
- a(n) = the smallest prime > Pi^n.at n=8A074497
- Numbers k such that T(k) = T(A072522(k)) + T(A072522(k+1)), T(i) being the triangular numbers.at n=22A080824
- Primes p giving prime quadruples (30p+11, 30p+13, 30p+17, 30p+19).at n=9A087771
- Numbers n which are divisors of the number formed by concatenating (n-3), (n-2) and (n-1) in that order.at n=2A088799
- Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=15A089157
- Numbers n such that 30*n+{1,7,11,13,17,19,29} are all prime.at n=2A100423
- Primes from merging of 4 successive digits in decimal expansion of the Euler-Mascheroni constant A001620.at n=19A104938
- Prime numbers p such that p+6 and p^2+6^2 are both primes.at n=40A107442
- Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube.at n=44A127061
- Emirps with only nonprime digits (i.e., 0, 1, 4, 6, 8, 9).at n=22A128390
- Primes in A132286.at n=19A132287
- Primes whose decimal, binary and binary-decimal reversals are all prime.at n=40A136187
- Primes of the form 24x^2+35y^2.at n=39A139994
- Primes of the form 35x^2+30xy+51y^2.at n=35A140623