2840
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 3640
- 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
- 1120
- Möbius Function
- 0
- Radical
- 710
- 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
- 35
- 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
- Coordination sequence T1 for Zeolite Code BRE.at n=35A008058
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=45A015849
- Powers of fifth root of 12 rounded down.at n=16A018147
- Powers of fifth root of 12 rounded to nearest integer.at n=16A018148
- Number of self-avoiding closed walks (from (0,0) to (0,0)) of length 2n in strip {-1, 0, 1} X Z.at n=9A022444
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=29A024854
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=16A028589
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=16A029719
- Theta series of 6-dimensional extremal 5-modular lattice Q6(4)^{+2}.at n=48A029721
- Decimal part of a(n)^(1/n) starts with a pandigital anagram (digits 0 through 9 in some order).at n=34A035304
- Number of partitions of n with equal nonzero number of parts congruent to each of 3 and 4 (mod 5).at n=37A035571
- Numbers k such that string 0,5 occurs in the base 9 representation of k but not of k-1.at n=37A044256
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n-1.at n=31A044372
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=30A044416
- Numbers n such that string 0,5 occurs in the base 9 representation of n but not of n+1.at n=37A044637
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n+1.at n=31A044753
- Sum{T(i,n-i): i=0,1,...,n}, array T given by A047000.at n=13A047001
- Starting from generation 6 add previous and next term yielding generation 7.at n=13A048453
- Positions of records in A346778.at n=44A049476
- Smallest "inconsummate number" in base n greater than in the previous base.at n=41A061381