1860
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 3516
- 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
- 480
- Möbius Function
- 0
- Radical
- 930
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 37
- 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
- Generalized Stirling numbers, [n+2,n]_2.at n=9A001701
- Number of 2n-step polygons on cubic lattice.at n=3A002896
- a(n) = n^2 + prime(n).at n=40A004232
- Number of inequivalent ways to color vertices of a regular tetrahedron using <= n colors.at n=12A006008
- Numbers not of form p + 2^x + 2^y.at n=43A006286
- Coordination sequence T2 for Zeolite Code AFS.at n=33A008024
- Coordination sequence T2 for Zeolite Code BPH.at n=33A008056
- Coordination sequence T4 for Zeolite Code DAC.at n=27A008070
- a(n) = lcm(sigma(n), phi(n)).at n=49A009286
- Number of partitions of {1, ..., 2n} into coprime pairs.at n=6A009679
- a(n) = floor(n*(n-1)*(n-2)/16).at n=32A011898
- Expansion of e.g.f. arcsin(log(x+1) - arctan(x)).at n=7A013247
- Expansion of e.g.f. sinh(log(x+1) - arctan(x)).at n=7A013251
- Consider all complete bipartite graphs on 2n nodes and all possible assignment of weights w(i) (for nodes i=1,...,2n); sequence gives maximal number of ways to orient the edges of the graph so that each node i has w(i) edges oriented towards it (for i=1,...,2n).at n=8A014627
- Theta series of D_31 lattice.at n=1A022062
- Theta series of D*_31 lattice.at n=8A022084
- S(n,n) + S(n-1,n-2) + S(n-2,n-4) + ... + S(n-k+1,n-2k+2), where k = [ (n+1)/2 ] and S(i,j) are Stirling numbers of second kind.at n=10A024428
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=23A028611
- a(n) = (n^7 - n)/42.at n=5A030180
- Numbers with exactly five distinct base-6 digits.at n=32A031983