17579
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17580
- 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
- 17578
- Möbius Function
- -1
- Radical
- 17579
- 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
- 141
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2021
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Next prime after n^3.at n=26A014220
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=27A031844
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=36A035790
- Denominators of continued fraction convergents to sqrt(982).at n=6A042901
- Consider problem of placing N queens on an n X n board so that each queen attacks precisely k others. Here k=1 and sequence gives number of inequivalent solutions when N is equal to the upper bound 2*floor(2n/3).at n=12A051567
- Consider problem of placing A051754(n) queens on an n X n board so that each queen attacks precisely 1 other. Sequence gives number of solutions up to square symmetry.at n=13A051757
- Prime(n) and prime(n+2) use the same digits.at n=24A069794
- Near twin primes of order 18: twin primes (p, p+2) such that p+18 and p+20 are primes.at n=28A079304
- a(n) = n^3 + 3.at n=26A084378
- Let a(1)=1; for n>1, a(n)=nextprime( a(n-1)^(n/(n-1)) ).at n=17A084573
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=42A090918
- Primes of the form m^k+k, with m and k > 1.at n=20A099227
- Prime numbers p such that primepi(p) + p is a square.at n=16A104269
- Primes p such that p + 2, 18*p^2 + 1, and 18*(p+2)^2 + 1 are all primes.at n=9A115272
- Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=33A118638
- Records in A034694.at n=22A120856
- Primes congruent to 36 mod 53.at n=34A142566
- Primes congruent to 56 mod 59.at n=38A142783
- Primes congruent to 11 mod 61.at n=36A142809
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=37A153058