11801
domain: N
Properties
Digital Properties
- Digit Count
- 5
- 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
- 11802
- 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
- 11800
- Möbius Function
- -1
- Radical
- 11801
- 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
- 50
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1414
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=14A004929
- Numbers k such that the continued fraction for sqrt(k) has period 91.at n=3A020430
- Numbers k such that 189*2^k+1 is prime.at n=23A032471
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=23A052232
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=25A054827
- Primes p such that x^59 = 2 has no solution mod p.at n=26A059312
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=27A059762
- Primes having only {0, 1, 8} as digits.at n=14A061247
- Primes of form 100*k + 1.at n=34A062800
- Primes which can be expressed as concatenation of cubes.at n=28A066592
- Frobenius number of the numerical semigroup generated by four consecutive tetrahedral numbers.at n=10A069761
- Primes which can be represented as the sum of a number and its reverse.at n=29A072382
- Numbers n for which there is a unique k such that n = k + reverse(k).at n=42A072427
- a(n) = A085956(3n+1).at n=33A086362
- k such that k-th prime is of the form 2n^2 + 3n + 3.at n=37A096690
- Primes p equal to the sum of two successive sexy primes + 1 such that p + 6 is also prime.at n=22A104043
- Least prime p for which Mertens's function M(p) = n.at n=43A123172
- a(n) = floor(n*t^n), where t=golden ratio=(1+sqrt(5))/2.at n=13A128439
- Primes p such that the smallest integer whose sum of decimal digits is p is prime.at n=24A129990
- Primes among variant of permutational numbers A134750.at n=36A134766