14553
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27360
- Proper Divisor Sum (Aliquot Sum)
- 12807
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7560
- Möbius Function
- 0
- Radical
- 231
- Omega Function (Ω)
- 6
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (2*n - 9)*n^2.at n=21A015243
- a(n) = n*(5*n^2 - 3)/2.at n=18A063522
- a(n+1) is the smallest odd m whose cototient equals a(n).at n=11A063830
- a(1) = 1; then the smallest number such that both the forward and reverse n-th partial concatenation is a prime for n > 1. (Reverse concatenation is taken term-wise and not digit-wise.)at n=16A083992
- Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x + 3x^2)^n.at n=59A084602
- Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18.at n=20A085789
- Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 6.at n=7A096517
- Numbers which are the sum of two positive cubes and divisible by 11.at n=23A101852
- Shadow of Euler's constant exp(1).at n=35A108912
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+343)^2 = y^2.at n=17A118611
- Denominators of rationals related to John Wallis' product formula for Pi/2 (from his 'Arithmetica infinitorum' from 1659).at n=4A120995
- Terms of A024670 that are not in A141805.at n=20A141806
- 9 times pentagonal numbers: 9*n*(3*n-1)/2.at n=33A152996
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=41A154495
- Triangle T(n, k) = Product_{j=1..k} Product_{i=0..j-1} ( 1 - (n-k+1)*(i+1) ) with T(n, 0) = 1 and T(n, n) = n!, read by rows.at n=24A156693
- A bisection of A063522.at n=9A160699
- a(n) = n*(n-3)*(n^2-7*n+14)/8.at n=18A176145
- Floor-Sqrt transform of involution numbers (A000085).at n=17A192677
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x>=2y+2z.at n=18A212565
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|-|y-z|.at n=27A212577