17761
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17762
- 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
- 17760
- Möbius Function
- -1
- Radical
- 17761
- 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
- 172
- 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
- 2039
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=26A002647
- Expansion of 1/((1-2x)(1-3x)(1-10x)).at n=4A016279
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=40A023274
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 100 ones.at n=5A031868
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=46A035979
- Recursive prime generating sequence.at n=56A039726
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=17A050665
- Primes with 19 as smallest positive primitive root.at n=15A061331
- Primes p such that q-p = 22, where q is the next prime after p.at n=32A061779
- Roman numerals for n evaluated as if in Sallows' base 27.at n=13A073427
- Expansion of 1/sqrt(1-2*x-95*x^2).at n=5A098442
- Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.at n=36A099533
- Primes congruent to 6 mod 53.at n=35A142536
- Primes congruent to 2 mod 59.at n=36A142729
- Primes congruent to 10 mod 61.at n=35A142808
- Primes of the form 20*k^2 + 32*k + 13.at n=14A154414
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=28A160858
- Main diagonal of the triangular array A161135.at n=10A161137
- Positions of zeros in A165597.at n=18A165598
- Primes p such that 2*p^4+-9 are also prime.at n=14A174365