11149
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11150
- 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
- 11148
- Möbius Function
- -1
- Radical
- 11149
- 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
- 37
- 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
- 1350
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Least inverse of A001390, or 0 if no inverse exists.at n=19A020638
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=17A031826
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -7, with F(-n)=(-1)^(n+1)*F(n).at n=24A037158
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=18A050266
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=15A052376
- Primes with 10 as smallest positive primitive root.at n=30A061323
- Smallest prime whose decimal expansion ends (nontrivially) with the n-th prime; or 0 if no such prime exists.at n=34A065112
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=35A074460
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=38A075931
- Smallest prime of the form prime(k) concatenated with prime(k+n).at n=29A089782
- Irregular primes whose indices are irregular primes of order one.at n=29A090869
- Index of the first occurrence of prime(n) in A092938.at n=46A092939
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=32A105212
- Smallest n-digit emirp (A006567) with nondecreasing digits.at n=3A127827
- Emirps with only nonprime digits (i.e., 0, 1, 4, 6, 8, 9).at n=34A128390
- Primes of the form 6x^2+6xy+229y^2.at n=40A140017
- Primes of the form 210k + 19.at n=30A140843
- Primes congruent to 12 mod 37.at n=36A142121
- Primes congruent to 38 mod 41.at n=34A142235
- Primes congruent to 12 mod 43.at n=32A142261