1404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3920
- Proper Divisor Sum (Aliquot Sum)
- 2516
- 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
- 432
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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 cusps of principal congruence subgroup Gamma^{hat}(n).at n=51A000114
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=24A000566
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=42A001182
- Number of n-step self-avoiding walks on f.c.c. lattice.at n=3A001336
- a(n) = (5*n+1)*(5*n+4).at n=7A001545
- Susceptibility series for f.c.c. lattice.at n=3A002921
- Cluster series for honeycomb.at n=13A003204
- Primes written in base 5.at n=49A004679
- Coefficients of modular function denoted G_6(tau) by Atkin.at n=6A005764
- Number of words of length n in a certain language.at n=22A005819
- Unique period lengths of primes mentioned in A007615.at n=34A007498
- a(n) = floor(n^2/2).at n=53A007590
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=42A007882
- Coordination sequence T1 for Zeolite Code AFG.at n=26A008012
- Coordination sequence T12 for Zeolite Code MFI.at n=24A008164
- Coordination sequence T7 for Zeolite Code NES.at n=24A008211
- Expansion of (1+x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=44A008766
- Orders of non-cyclic simple groups (divided by 4).at n=10A008976
- a(n) = lcm(sigma(n), phi(n)).at n=52A009286
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=28A011896