289
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 3
- Divisor Sum
- 307
- Proper Divisor Sum (Aliquot Sum)
- 18
- 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
- 272
- Möbius Function
- 0
- Radical
- 17
- Omega Function (Ω)
- 2
- 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
- yes
- 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
- 29
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- zweihundertneunundachtzig· ordinal: zweihundertneunundachtzigste
- English
- two hundred eighty-nine· ordinal: two hundred eighty-ninth
- Spanish
- doscientos ochenta y nueve· ordinal: 289º
- French
- deux cent quatre-vingt-neuf· ordinal: deux cent quatre-vingt-neufième
- Italian
- duecentoottantanove· ordinal: 289º
- Latin
- ducenti octoginta novem· ordinal: 289.
- Portuguese
- duzentos e oitenta e nove· ordinal: 289º
Appears in sequences
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=21A000232
- n followed by n^2.at n=33A000463
- Lucky numbers.at n=54A000959
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=18A000960
- Powers of 17: a(n) = 17^n.at n=2A001026
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=31A001032
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=21A001033
- Squares of primes.at n=6A001248
- a(n) = a(n-1) + a(n-2) - 1.at n=12A001588
- Perfect powers: m^k where m > 0 and k >= 2.at n=23A001597
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=27A001694
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=22A001767
- v-pile positions of the 4-Wythoff game with i=1.at n=55A001964
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=8A001979
- Restricted partitions.at n=7A001981
- Class numbers of quadratic fields.at n=8A001985
- Numbers k such that 15*2^k - 1 is prime.at n=20A002237
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=34A002620
- Numerator of constant term in polynomial arising from numerical integration formula.at n=3A002669
- Numbers k such that (k^2 + 1)/2 is prime.at n=46A002731