2548
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 5586
- Proper Divisor Sum (Aliquot Sum)
- 3038
- 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
- 1008
- Möbius Function
- 0
- Radical
- 182
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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 symmetric reflexive relations on n nodes: (1/2)*A000666.at n=5A000250
- a(n) = 7*binomial(2n,n-3)/(n+4).at n=8A000588
- Numbers k such that 5*2^k - 1 is prime.at n=25A001770
- Number of unrooted triangulations of a disk with 2 internal nodes and n+3 nodes on the boundary.at n=6A005504
- a(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=6A005557
- Number of 5-tuples (p_1, p_2, ..., p_5) of Dyck paths of semilength n, such that each p_i is never below p_{i-1}.at n=4A006151
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=38A006501
- Series for second perpendicular moment of hexagonal lattice.at n=6A006742
- Expansion of g.f. x*(1 + x)*(1 + 6*x + x^2)/(1 - x)^7.at n=6A006858
- Coordination sequence T3 for Zeolite Code LIO.at n=35A008131
- Coordination sequence T1 for Zeolite Code LOS.at n=35A008132
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4).at n=55A008218
- a(n) = lcm(n, sigma(n)).at n=51A009242
- a(n) = (2*n - 15)*n^2.at n=14A015247
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=26A015616
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite LOV = Lovdarite K4Na12 [Be8Si28O72].18H2O starting with a T2 atom.at n=11A019140
- Define the sequence T(a(0), a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(7,50).at n=3A022037
- Number of terms in 5th derivative of a function composed with itself n times.at n=12A022815
- Numbers with exactly 6 1's in their ternary expansion.at n=18A023697
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=17A024479