1834
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3168
- Proper Divisor Sum (Aliquot Sum)
- 1334
- 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
- 780
- Möbius Function
- -1
- Radical
- 1834
- Omega Function (Ω)
- 3
- 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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Erroneous version of A003713.at n=6A000154
- Number of planar partitions of n decreasing across rows.at n=16A003293
- Expansion of e.g.f. log(1/(1+log(1-x))).at n=6A003713
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=40A005733
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=14A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=26A005993
- Inverse Moebius transform of triangular numbers.at n=51A007437
- Coordination sequence T1 for Zeolite Code ZON.at n=30A009919
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=35A011185
- Numbers k such that phi(k) + 12 | sigma(k).at n=46A015805
- Pseudoprimes to base 39.at n=5A020167
- Pseudoprimes to base 99.at n=26A020227
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=24A020371
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=25A022866
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=26A024809
- Numbers that are the sum of 3 nonzero squares in exactly 9 ways.at n=43A025329
- Numbers that are the sum of 3 distinct nonzero squares in exactly 9 ways.at n=28A025347
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=29A027426
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=18A029713
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=27A030533