11177
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11178
- 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
- 11176
- Möbius Function
- -1
- Radical
- 11177
- 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
- 161
- 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
- 1355
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.at n=49A016112
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=16A020402
- Primes that contain digits 1 and 7 only.at n=11A020455
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=19A025095
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=12A031599
- Lower prime of a difference of 20 between consecutive primes.at n=20A031938
- Primes in which each digit occurs in runs of at least 2.at n=1A034873
- Denominators of continued fraction convergents to sqrt(354).at n=8A041671
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=28A055472
- Prime numbers with odd digits in ascending order.at n=38A061244
- Primes which, although they have correct parity, are not in the prime number maze.at n=21A065123
- Primes for which the four closest primes are smaller.at n=22A075030
- Primes having only {1, 4, 7} as digits.at n=25A079651
- If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=22A083983
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=40A086708
- Smallest prime in which the digit string can be partitioned in n+1 parts such that the product of the first n parts = the (n+1)th one.at n=3A088295
- Smallest prime whose product of digits is 7^n.at n=2A090841
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=26A095651
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=14A095697
- Primes of the form 37n+3.at n=40A100203