2980
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6300
- Proper Divisor Sum (Aliquot Sum)
- 3320
- 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
- 1184
- Möbius Function
- 0
- Radical
- 1490
- 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
- 92
- 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) = floor(e^n).at n=8A000149
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=27A000837
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=45A001973
- Numbers that are the sum of 5 positive 6th powers.at n=19A003361
- Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.at n=7A004791
- a(n) = floor(e^((n-1)/2)).at n=17A005182
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=51A014670
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=19A015629
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=35A022765
- Numbers k such that k^2 has only even digits.at n=47A030097
- Coordination sequence T10 for Zeolite Code STT.at n=36A038422
- Coordination sequence T4 for Zeolite Code SFF.at n=36A038434
- T(n,n-3), array T as in A038792.at n=26A038793
- Denominators of continued fraction convergents to sqrt(222).at n=7A041415
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=27A043075
- Numbers n such that string 8,0 occurs in the base 10 representation of n but not of n-1.at n=32A044412
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n-1.at n=31A044430
- Numbers n such that string 8,0 occurs in the base 10 representation of n but not of n+1.at n=32A044793
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(2) = 4.at n=26A050039
- Number of rooted identity trees with n nodes and 5-colored non-root nodes.at n=5A052797