9011
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9012
- 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
- 9010
- Möbius Function
- -1
- Radical
- 9011
- 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
- 39
- 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
- 1120
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Erroneous version of A028491.at n=10A004060
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=23A020433
- Numbers k such that (3^k - 1)/2 is prime.at n=10A028491
- 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 93.at n=32A031591
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=33A031814
- Numbers whose set of base-16 digits is {2,3}.at n=21A032816
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=23A043088
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=35A045079
- Primes with first digit 9.at n=17A045715
- Primes p such that x^53 = 2 has no solution mod p.at n=20A059258
- Lesser of irregular twin primes.at n=30A060012
- Irregular primes with irregularity index three.at n=15A060975
- Prime having only {0, 1, 4, 9} as digits.at n=40A061246
- Primes in which neighboring digits differ at most by 1.at n=38A068148
- Prime sum of n-th group of successive primes in A073684.at n=33A073682
- Primes p = product(A073692(n), A073692(n)+2,..., A073692(n+1)-2) plus 2.at n=4A073691
- Primes whose 10's complement is a palindrome.at n=36A083017
- Lower twin primes with lower twin prime index.at n=13A088460
- Representative lunar primes.at n=24A088574
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=36A089629