2516
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4788
- Proper Divisor Sum (Aliquot Sum)
- 2272
- 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
- 1152
- Möbius Function
- 0
- Radical
- 1258
- Omega Function (Ω)
- 4
- 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
- 40
- 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
- a(n) = Sum_{j=1..n} binomial(n^2, j).at n=3A007819
- Fibonacci sequence beginning 4, 15.at n=12A022133
- Coordination sequence T3 for Zeolite Code MWW.at n=33A024988
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=30A026068
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=33A027426
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=36A031522
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 4.at n=10A033960
- Decimal part of cube root of a(n) starts with 6: first term of runs.at n=11A034132
- Positive numbers having the same set of digits in base 4 and base 7.at n=43A037425
- Numbers k such that string 0,5 occurs in the base 9 representation of k but not of k-1.at n=33A044256
- Numbers k such that the string 1,6 occurs in the base 10 representation of k but not of k-1.at n=28A044348
- Numbers n such that string 0,5 occurs in the base 9 representation of n but not of n+1.at n=33A044637
- Numbers n such that string 1,6 occurs in the base 10 representation of n but not of n+1.at n=28A044729
- In base-10 notation replace digits of n with their squared values (Version 1).at n=54A048385
- a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 7's.at n=21A048543
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=23A054222
- a(n) = binomial(n,4) + binomial(n,2).at n=16A055795
- McKay-Thompson series of class 16e for the Monster group.at n=55A058526
- Numbers k such that 3*7^k - 2 is prime.at n=9A059091
- Numbers k such that k is divisible by A061762(k) and the product of digits of k (A007954(k)) is not zero.at n=36A061763