2897
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2898
- 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
- 2896
- Möbius Function
- -1
- Radical
- 2897
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 419
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z.at n=15A002559
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=9A004927
- Coordination sequence T2 for Zeolite Code PHI.at n=39A008228
- Expansion of e.g.f.: exp(tan(tanh(x))).at n=9A009241
- Expansion of sin(tanh(tan(x))).at n=4A009521
- Number of B-trees of order 3 with n leaves.at n=24A014535
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=36A015986
- Powers of sqrt(2) rounded up.at n=23A017912
- Powers of fourth root of 2 rounded up.at n=46A018050
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=10A020362
- Markov numbers satisfying region 5 (x=5) of the equation x^2 + y^2 + z^2 = 3xyz.at n=6A030452
- Primes which when concatenated with next 3 primes are also prime.at n=28A030472
- Smallest nontrivial extension of n-th square which is a prime.at n=16A030685
- a(n) = prime(10*n - 1).at n=41A031376
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=39A031416
- Upper prime of a difference of 10 between consecutive primes.at n=39A031929
- Primes of the form x^2+74*y^2.at n=18A033248
- Primes of form x^2+86*y^2.at n=17A033255
- Coordination sequence T3 for Zeolite Code SBT.at n=43A033614
- Multiplicity of highest weight (or singular) vectors associated with character chi_24 of Monster module.at n=33A034412