4754
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7134
- Proper Divisor Sum (Aliquot Sum)
- 2380
- 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
- 2376
- Möbius Function
- 1
- Radical
- 4754
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 51
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(n) = floor(1000*log_2(n)).at n=26A004265
- Series for first parallel moment of square lattice.at n=11A006732
- If x and y are terms, so is x*y + 9.at n=29A009350
- Coordination sequence for FeS2-Marcasite, Fe position.at n=36A009955
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=27A015990
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=26A020356
- Numbers whose set of base-8 digits is {1,2}.at n=37A032929
- Denominators of continued fraction convergents to sqrt(267).at n=6A041501
- Numbers having three 2's in base 8.at n=29A043431
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=20A059954
- a(n) = (9n^2 + 9n + 4)/2.at n=32A062123
- Fixed points of A065191.at n=7A065197
- Numbers which need nine 'Reverse and Add' steps to reach a palindrome.at n=26A065214
- Row sums of triangle A091492.at n=40A091493
- Values of k such that {s(1),...,s(k)} is a palindrome, where {s(1),s(2),...} is the fixed point of the substitutions 0->1 and 1->110.at n=17A098894
- a(n) = n * Sum_{d|n} binomial(n,d)/gcd(n,d).at n=11A105862
- Column 1 of triangle A118032, where column 1 of the matrix square of A118032 forms a bisection of this sequence.at n=15A118034
- Triangle T, read by rows, equal to a diagonal bisection of A118032 such that diagonal n of T equals diagonal 2n+1 of A118032: T(n,k) = A118032(2n+1-k,k); also equals the matrix product of A118032 and SHIFT_UP(A118032).at n=37A118045
- Column 1 of triangle A118045; also equals a bisection of A118034, which is column 1 of A118032.at n=7A118047
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 11000-01111-11000 pattern in any orientation.at n=24A147457