8452
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14798
- Proper Divisor Sum (Aliquot Sum)
- 6346
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 4226
- Omega Function (Ω)
- 3
- 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
- 83
- 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
- Number of lines through exactly 4 points of an n X n grid of points.at n=32A018811
- Numbers n such that n is a substring of its square in base 8 (written in base 10).at n=13A018832
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=22A020433
- Convolution of Fibonacci numbers and A023533.at n=19A023613
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=39A031810
- Numbers whose set of base-7 digits is {3,4}.at n=34A032831
- Numbers whose base-7 representation contains exactly four 3's.at n=21A043408
- Numbers k such that average of prime(k) and prime(k+1) is a perfect square.at n=35A076692
- a(n) = 4 + 8*n + 10*n^2 + 4*n^3.at n=12A100207
- a(n) = 8*n^2 + 8*n + 4.at n=32A108099
- Numbers n such that p(8n) is prime, where p(n) is the number of partitions of n.at n=23A114168
- Expansion of x*(5510*x^5-395*x^3-146*x^2-3*x-1) / (13340*x^4-52*x^2-1).at n=4A142887
- Number of n-digit cycles of length 3 under the Kaprekar map A151949.at n=55A164735
- Triangle T(n,k) = 1 -A002627(k) -A002627(n-k) +A002627(n), read by rows.at n=30A176305
- Triangle T(n,k) = 1 -A002627(k) -A002627(n-k) +A002627(n), read by rows.at n=33A176305
- Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n.at n=81A181664
- Numbers n such that there is no square n-gonal number greater than 1.at n=16A188896
- Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape P; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=23A247706
- Positions of squares in A276573.at n=32A277014
- Number of n X 3 0..1 arrays with each 1 adjacent to 2 or 3 king-move neighboring 1s.at n=6A295980