14648
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27480
- Proper Divisor Sum (Aliquot Sum)
- 12832
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7320
- Möbius Function
- 0
- Radical
- 3662
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Convolution of L(n+1) = A000204(n+1), n>=0, with L(n+4), n>=0.at n=10A067982
- Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes.at n=7A072730
- Floor of sum of the first n^2 square roots.at n=28A138357
- Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 2,2 3,1 3,2 4,3 5,4 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155359
- Number of lines through at least 2 points of a 6 X n grid of points.at n=42A160846
- G.f. satisfies: A( x - A(x)^2 ) = x+x^2 - A(x)^2.at n=7A214404
- Number of length n+3 0..4 arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..4 introduced in 0..4 order.at n=5A242580
- T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern aabb (with a!=b) and new values 0..k introduced in 0..k order.at n=41A242584
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood.at n=6A272396
- Let m(k) be the index of the largest triangular number <= k; then a(n) is the smallest number k that can be written as the sum of three triangular numbers if the largest is the (m(k)-n)-th triangular number, but no larger.at n=10A331753
- Number of endless self-avoiding walks of length n for the body centered cubic lattice.at n=4A334333