2608
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 5084
- Proper Divisor Sum (Aliquot Sum)
- 2476
- 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
- 1296
- Möbius Function
- 0
- Radical
- 326
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- Arrays of dumbbells.at n=10A002940
- Related to representations as sums of Fibonacci numbers.at n=41A006133
- Taylor series related to one in Ramanujan's Lost Notebook.at n=20A006305
- Expansion of (1+x^2)(1+x^4)/((1-x)^2*(1-x^2)*(1-x^3)).at n=28A007979
- Coordination sequence T4 for Zeolite Code DDR.at n=32A008074
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=56A008769
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=38A020371
- Length of n-th term of A006711.at n=27A022476
- Expansion of Product_{m>=1} (1+x^m)^2.at n=22A022567
- Place where n-th 1 occurs in A023125.at n=26A022787
- a(n) = F(n+1) + c(n) where F(k) is k-th Fibonacci number and c(n) is n-th non-Fibonacci number.at n=16A022799
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=28A023080
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026780.at n=14A026790
- Number of T-frame polyominoes with n cells.at n=33A028247
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=15A028589
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=15A029719
- Positions of record values in A030787.at n=47A030792
- Coordination sequence T5 for Zeolite Code CFI.at n=34A033603
- Number of numbers up to 10^n with exactly 4 divisors.at n=3A035533
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 3).at n=33A035539