1789
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1790
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1788
- Möbius Function
- -1
- Radical
- 1789
- 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
- 99
- 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
- 278
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=17A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=24A001133
- Generalized sum of divisors function.at n=32A002132
- Primes with both 10 and -10 as primitive root.at n=52A007349
- Number of 5-level rooted trees with n leaves.at n=7A007714
- Number of non-Abelian metacyclic groups of order p^n (p odd).at n=46A007983
- Coordination sequence T2 for Zeolite Code AFY.at n=35A008030
- Coordination sequence T2 for Zeolite Code ATV.at n=27A008044
- Coordination sequence T4 for Zeolite Code NES.at n=27A008208
- Primes of the form x^2 + 27y^2.at n=41A014752
- Six iterations of Reverse and Add are needed to reach a palindrome.at n=31A015984
- Numbers k=3*m+1 such that 2^m == 1 (mod k).at n=43A016108
- Powers of sqrt(20) rounded to nearest integer.at n=5A017965
- Powers of sqrt(20) rounded up.at n=5A017966
- Powers of fourth root of 20 rounded to nearest integer.at n=10A018103
- Powers of fourth root of 20 rounded up.at n=10A018104
- Numbers k such that the continued fraction for sqrt(k) has period 67.at n=1A020406
- Pisot sequence T(6,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=13A020741
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=17A023264
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=36A023268