2511
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 3872
- Proper Divisor Sum (Aliquot Sum)
- 1361
- 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
- 1620
- Möbius Function
- 0
- Radical
- 93
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of graphical basis partitions of 2n.at n=22A001130
- Numbers that are the sum of 12 positive 6th powers.at n=41A003368
- Centered tetrahedral numbers.at n=15A005894
- a(n) = a(n-1) + a(n - 1 - number of even terms so far).at n=31A006336
- McKay-Thompson series of class 6c for Monster.at n=14A007262
- Coordination sequence T6 for Zeolite Code MEL.at n=32A008155
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=34A013650
- Odd numbers k that divide 25^k - 1.at n=29A014962
- Expansion of 1/((1-3*x)*(1-6*x)).at n=4A016137
- Powers of fifth root of 10 rounded down.at n=17A018141
- Every prefix prime in base 6 (written in base 6).at n=17A024766
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=30A027635
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=35A027635
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=30A030533
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=31A031894
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=29A033679
- Fractional part of square root of a(n) starts with 1: first term of runs.at n=47A034107
- Number of partitions of n into parts 5k+1 and 5k+2 with at least one part of each type.at n=49A035631
- Composite numbers whose prime factors contain no digits other than 1 and 3.at n=46A036303
- Sums of 3 distinct powers of 3.at n=49A038465