14301
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23712
- Proper Divisor Sum (Aliquot Sum)
- 9411
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8136
- Möbius Function
- 0
- Radical
- 4767
- Omega Function (Ω)
- 4
- 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
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (F(2n+3) - F(n))/2 where F() = Fibonacci numbers A000045.at n=10A027994
- Denominators of continued fraction convergents to sqrt(526).at n=10A042007
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=23A045128
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=33A118470
- Row sums of triangle A145373 (S1hat(-5)) and partition array A145372 (M31hat(-5)).at n=7A145374
- Number of n X 4 binary arrays without the pattern 0 1 diagonally or vertically.at n=18A188838
- Centered 44-gonal numbers.at n=25A195318
- Triangle of coefficients T(n, k) (n > 0, k < n) in expansion of sin(u*x) * sin(v*x) / (cos(u*x) + cos(v*x)), read by rows.at n=12A224873
- Number of partitions of k-sets with distinct block sizes and maximal block size equal to n (n <= k <= n*(n+1)/2).at n=4A262073
- E.g.f. A(x,y) = cos((x - x*y)/2) / cos((x + x*y)/2) represented as a triangle, read by rows, where row n lists of coefficients T(n,k) of x^(2*n)*y^k/n! in A(x,y), for k=0..2*n.at n=30A272481
- a(n) equals the coefficient of x^(2*n)*y^n/(2*n)! in cos((x - x*y)/2) / cos((x + x*y)/2).at n=5A272482
- Least number x such that x^n has n digits equal to k. Case k = 1.at n=18A285448
- Number of n-bead necklace structures using a maximum of four different colored beads and no adjacent beads having the same color.at n=13A309673
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=41A320717
- a(n) = Sum_{k=0..floor((n-2)/3)} 2^k * Stirling2(n,3*k+2).at n=9A357784
- Expansion of Product_{i>=1, j>=0} (1 + x^(i * 6^j)).at n=55A373220