2616
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6600
- Proper Divisor Sum (Aliquot Sum)
- 3984
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 864
- Möbius Function
- 0
- Radical
- 654
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 146
- 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 ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=17A005337
- Coordination sequence T2 for Zeolite Code EMT.at n=42A008087
- Number of partitions of n into distinct parts, none being 8.at n=50A015755
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=35A024624
- Positions of squares among the powers of primes (A000961).at n=49A024626
- Number of labeled essential directed acyclic graphs (DAGs).at n=5A026586
- a(n) = T(2n, n-2), T given by A026769.at n=4A026772
- Expansion of (theta_3(z)*theta_3(21z)+theta_2(z)*theta_2(21z))^4.at n=36A028652
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 7.at n=35A031410
- Numbers with exactly five distinct base-7 digits.at n=25A031984
- Multiplicity of highest weight (or singular) vectors associated with character chi_170 of Monster module.at n=38A034558
- Numbers having three 0's in base 6.at n=33A043371
- Numbers n such that string 0,7 occurs in the base 8 representation of n but not of n-1.at n=44A044194
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n-1.at n=36A044275
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=29A044348
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n+1.at n=36A044656
- Numbers n such that string 1,6 occurs in the base 10 representation of n but not of n+1.at n=29A044729
- Mean gap between successive primes up to k-th prime is an integer.at n=5A049036
- a(n) = Fibonacci(n) XOR Fibonacci(n+1).at n=19A051124
- E.g.f. 1/(1-3x-x^2).at n=4A052595