4753
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
- 5586
- Proper Divisor Sum (Aliquot Sum)
- 833
- 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
- 4032
- Möbius Function
- 0
- Radical
- 679
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 51
- 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) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=7A002593
- Binomial coefficient C(7n,n-12).at n=2A004380
- Juxtapose pairs of primes.at n=7A007795
- Coordination sequence T4 for Zeolite Code BRE.at n=45A008061
- Number of rooted multi-edge stars with n edges.at n=9A010359
- Odd triangular numbers.at n=48A014493
- a(n) = (2*n+1)*(4*n+1).at n=24A014634
- Binomial coefficients C(n,96).at n=2A017760
- Binomial coefficients C(98,n).at n=2A017814
- Smallest triangular number that begins with n.at n=46A018855
- Pseudoprimes to base 18.at n=29A020146
- Pseudoprimes to base 31.at n=24A020159
- Pseudoprimes to base 48.at n=29A020176
- Pseudoprimes to base 50.at n=34A020178
- Pseudoprimes to base 79.at n=25A020207
- Pseudoprimes to base 99.at n=40A020227
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=18A020403
- (prime(n)-1)(prime(n)-3)/8.at n=43A030005
- a(n) = (prime(n)-3)*(prime(n)-5)/8.at n=44A030007
- Numbers whose set of base-8 digits is {1,2}.at n=36A032929