14432
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31752
- Proper Divisor Sum (Aliquot Sum)
- 17320
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- 0
- Radical
- 902
- Omega Function (Ω)
- 7
- 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
- 58
- 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
- Base-6 Armstrong or narcissistic numbers, written in base 6.at n=9A010347
- Number of binary arrangements without adjacent 1's on n X n staggered hexagonal grid.at n=4A066863
- Sylvester dividends for A002605.at n=34A105608
- Integers k such that 10^k + 63 is a prime number.at n=22A135115
- A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}].at n=50A142701
- a(n) = 1331*n - 209.at n=10A157444
- Number of nX5 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=6A164757
- a(n) = n*(14*n + 3).at n=32A195025
- Vinogradov's constants arising in enumeration of solutions to Waring's problem in the evil numbers (A001969).at n=26A206375
- Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=43A256532
- The total number of different isosceles trapezoids, excluding squares, that can be drawn on an n X n square grid where the corners of each individual trapezoid lie on a lattice point.at n=32A272459
- a(n) = ceiling(A293160(n)/2).at n=22A293161
- Numbers k >= 1 such that A018804(k) divided by A000203(k) is an integer.at n=15A349726
- Expansion of Sum_{k>0} x^(2*k)/(1-x^k)^4.at n=41A363604
- a(n) = Sum_{k=0..floor(n/3)} 2^k * binomial(k,n-3*k)^2.at n=20A387477