1408
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3060
- Proper Divisor Sum (Aliquot Sum)
- 1652
- 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
- 640
- Möbius Function
- 0
- Radical
- 22
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
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
- 21
- 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 tangent numbers d_(n,2).at n=7A000176
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=22A000567
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=43A001082
- Bisection of A002470.at n=6A002287
- Inverse of reduced totient function.at n=58A002396
- Expansion of 1/((1-x)*(1-4*x)*(1-9*x)).at n=3A002451
- Glaisher's function W(n).at n=12A002470
- Numbers that are the sum of 11 positive 7th powers.at n=11A003378
- Numbers of the form 2^i * 11^j.at n=23A003596
- Number of (undirected) Hamiltonian paths in the n-ladder graph K_2 X P_n.at n=37A003682
- Degrees of irreducible representations of alternating group A_12.at n=22A003867
- Degrees of irreducible representations of symmetric group S_12.at n=36A003876
- Degrees of irreducible representations of symmetric group S_12.at n=37A003876
- Degrees of irreducible representations of Higman-Sims group HS.at n=17A003908
- a(n) = 11*2^n.at n=7A005015
- G.f.: x*(1-x^2)*(x^4+x^3-x^2+x+1) / (x^8-4*x^6-x^4-4*x^2+1).at n=12A005822
- Number of paraffins.at n=14A006001
- Royal paths in a lattice.at n=4A006321
- Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n^2/4) (i.e., A000217(n) + A002620(n)).at n=43A006578
- Expansion of theta_3 / theta_4.at n=12A007096