2936
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5520
- Proper Divisor Sum (Aliquot Sum)
- 2584
- 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
- 1464
- Möbius Function
- 0
- Radical
- 734
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- yes
- Odd
- no
Appears in sequences
- Number of boron trees with n nodes, i.e. n-node rooted trees with degree <= 3 at root and out-degree <= 2 elsewhere.at n=13A000671
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=31A000954
- Number of Twopins positions.at n=19A005689
- Series for first parallel moment of hexagonal lattice.at n=7A006740
- Coordination sequence T3 for Zeolite Code LOV.at n=36A008136
- Coordination sequence T3 for Zeolite Code MTT.at n=33A008191
- Coordination sequence T1 for Zeolite Code GIS.at n=40A008266
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=13A015990
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9).at n=33A017831
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=23A018227
- a(n) = n*(23*n - 1)/2.at n=16A022280
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 5, with a(1) = 1, a(2) = a(3) = 0, a(4) = 1.at n=13A025276
- Concatenation of n and n+7.at n=28A032612
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) < cn(3,5).at n=64A036874
- Coordination sequence T5 for Zeolite Code ESV.at n=36A038414
- Numerators of continued fraction convergents to sqrt(190).at n=8A041352
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n-1.at n=36A044271
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n-1.at n=32A044368
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n+1.at n=36A044652
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n+1.at n=32A044749