14416
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 30132
- Proper Divisor Sum (Aliquot Sum)
- 15716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6656
- Möbius Function
- 0
- Radical
- 1802
- 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
- yes
- Harshad Number
- yes
- 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
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=43A007811
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=33A024827
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 15.at n=7A031693
- Numbers whose set of base-15 digits is {1,4}.at n=26A032827
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=30A056789
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^2 where w, x, y, and z are all positive integers.at n=23A057369
- McKay-Thompson series of class 24H for Monster.at n=27A058578
- Smallest integer > 1 which is both n-gonal and centered n-gonal.at n=28A072277
- Convolution of A073709, which is also the first differences of the unique terms of A073709.at n=15A073710
- Sum of terms in row n of A081520.at n=30A081519
- Row sums of correlation triangle for (1+x)^3/(1-x).at n=31A115293
- Values of x in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z.at n=27A138667
- a(n) = 64*n^2 + 16.at n=14A157912
- a(n) = 225n^2 + 2n.at n=7A158228
- a(n) = 961*n + 1.at n=14A158414
- a(n) = n*(n^2 - 4*n + 5)/2.at n=32A162607
- Numbers k for which 10k + 1, 10k + 3, 10k + 7, 10k + 9 and 10k + 13 are primes.at n=9A178084
- Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order.at n=5A206210
- Number of (n+1)X7 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order.at n=2A206213
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order.at n=30A206215