14904
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 43560
- Proper Divisor Sum (Aliquot Sum)
- 28656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 8
- 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
- 71
- 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
- Theta series of lattice Kappa_8.at n=10A015235
- Least sum of 4 distinct positive cubes in exactly n ways.at n=5A025421
- Fourier coefficients of T_{22}.at n=2A048145
- Numbers k such that k | sigma_9(k) - phi(k)^9.at n=27A055703
- Sums of members of groups in A076063.at n=30A076066
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=38A085446
- Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n that have k horizontal steps on the x-axis (0<=k<=n). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1.at n=58A114709
- a(n) = numerator of Product_{k=1..n} k^mu(n+1-k), where mu(k) = A008683(k).at n=22A130088
- Multiples of 23 whose digit reversal - 1 is also a multiple of 23.at n=26A166400
- Arithmetic derivative of the double factorial of n.at n=11A168386
- Number of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=13A173547
- Number of reduced 3 X 3 magilatin squares with magic sum n.at n=23A174020
- Numbers of the form p^4*q^3*r where p, q, and r are distinct primes.at n=17A179698
- Square array read by antidiagonals: T(m,n) (m>=0, n>=0) are the coefficients in an expansion of the Weierstrass sigma-function.at n=9A188797
- Expansion of Weierstrass sigma function where g2 = 0, g3 = 1/2.at n=3A188798
- Numbers k such that at least one other integer m exists with the same smallest and same largest prime factors, and same multisets of decimal and binary digits as k.at n=36A214621
- Exponential Riordan array [exp(x*exp(-x)),x].at n=47A215652
- G.f.: 1 = ...((((exp(x) - a(1)*x )^2 - a(2)*x^2 )^3 - a(3)*x^3 )^4 - a(4)*x^4 )^5 - ..., an infinite series of nested powers.at n=7A274960
- Ulam numbers k such that 4*k and 16*k are also Ulam numbers.at n=22A287634
- Expansion of Product_{k>0} ((1 - q^(2*k))^3*(1 - q^(6*k))*(1 - q^(12*k)))/((1 - q^k)^4*(1 - q^(4*k))).at n=13A293628