14336
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 18424
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 12
- 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
- 27
- 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
- Numbers that are not the sum of 4 nonzero squares.at n=27A000534
- Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n.at n=8A003433
- Numbers of form 2^i*7^j, with i, j >= 0.at n=43A003591
- Numbers that are the sum of 7 positive 11th powers.at n=7A004818
- Numbers that are the sum of at most 7 positive 11th powers.at n=35A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=42A004914
- a(n) = 7*2^n.at n=11A005009
- Numbers that have a unique partition into a sum of four nonnegative squares.at n=26A006431
- Fourier coefficients of E_{infinity,4}.at n=24A007331
- Exponential-convolution of natural numbers with themselves.at n=9A007466
- From a problem concerning circulant matrices and Gauss sums.at n=7A007792
- Coordination sequence for alpha-Mn, Position Mn1.at n=31A009950
- Max_{k=0..n} d(C(n,k)) - d(C(n,[ n/2 ])), where d() = number of divisors.at n=59A020740
- Expansion of Product_{m>=1} (1+q^m)^(-7).at n=14A022602
- Numbers of the form 2^k or 7*2^k.at n=25A029746
- Numbers of the form 2^k times 1, 3 or 7.at n=38A029748
- Numbers of the form 2^k times 1, 5 or 7.at n=37A029749
- Numbers k such that 207*2^k + 1 is prime.at n=43A032480
- Numbers whose prime factors are 2 and 7.at n=25A033847
- Triangle whose (i,j)-th entry is binomial(i,j)*2^i.at n=39A038208