14080
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 36792
- Proper Divisor Sum (Aliquot Sum)
- 22712
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 10
- 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
- 120
- 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
- Bisection of A002470.at n=30A002287
- Coefficients of Chebyshev polynomials: n*(2*n+1) * 4^(n-1).at n=4A002700
- log(cosh(x)+arcsinh(x))=x-2/3!*x^3+8/4!*x^4-12/5!*x^5-48/6!*x^6...at n=10A013190
- Droll numbers: numbers > 1 whose sum of even prime factors equals the sum of odd prime factors.at n=9A019507
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=41A024826
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 59.at n=30A031557
- Number of partitions of n into parts not of the form 19k, 19k+7 or 19k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=36A035976
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*11^j.at n=16A038241
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*4^j.at n=19A038318
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=30A046314
- Sextuple factorial numbers: Product_{k=0..n-1} (6*k+4).at n=4A049308
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=38A049325
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=40A051872
- a(n) = 2^(n-2)*binomial(n+1,2).at n=8A052482
- Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in increasing order).at n=25A053124
- Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in decreasing order).at n=23A053125
- One quarter of fourth unsigned column of Lanczos' triangle A053125.at n=4A054329
- 10-fold convolution of A000302 (powers of 4).at n=3A054340
- McKay-Thompson series of class 35B for Monster.at n=42A058641
- Numbers k such that k = phi(sigma(phi(sigma(k)))).at n=19A067883