11161
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11162
- 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
- 11160
- Möbius Function
- -1
- Radical
- 11161
- 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
- 42
- 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
- 1352
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that contain digits 1 and 6 only.at n=4A020454
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=24A031828
- Smallest n-digit prime containing only digits 1 and 6, or 0 if no such prime exists.at n=4A036933
- Numbers having four 1's in base 10.at n=17A043496
- Sizes of successive balls in D_4 lattice.at n=33A046949
- Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791). Sequence gives values of x.at n=17A050792
- Ramanujan's a-series: expansion of (1+53x+9x^2)/(1-82x-82x^2+x^3).at n=2A051028
- Primes p such that x^31 = 2 has no solution mod p.at n=37A059225
- Integer part of log(n^n)^(1 + log(1 + log(n))).at n=18A062449
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=11A066595
- Primes which can be expressed as concatenation of powers of 6 and 0's.at n=16A066597
- Expansion of Product_{k>=1} (1 + A001055(k)*x^k).at n=39A066816
- Centered 24-gonal numbers.at n=30A069190
- Sum of n-th row of triangle in A082196.at n=26A082199
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=34A086244
- Smallest prime which is a concatenation of n n-th powers. 1 is considered an n-th power for every value of n.at n=3A089760
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=29A090918
- Prime numbers with prime sum of any two digits.at n=13A091939
- Primes arising in A032682.at n=35A099677
- Smallest odd prime p such that n = (p - 1) / ord_p(2).at n=35A101208