4542
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9096
- Proper Divisor Sum (Aliquot Sum)
- 4554
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1512
- Möbius Function
- -1
- Radical
- 4542
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of trees of diameter 5.at n=19A000147
- Number of acyclic quaternary ammonium ions with n carbon atoms.at n=10A000633
- Maximal length of rook tour on an n X n board.at n=18A006071
- Coordination sequence T4 for Zeolite Code iRON.at n=47A009884
- Sum of squares of numbers in row n of array T given by A026736.at n=7A027221
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=27A031542
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=38A035962
- Duplicate of A000633.at n=15A036669
- Number of partitions satisfying cn(0,5) + cn(2,5) <= cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=30A039887
- Denominators of continued fraction convergents to sqrt(849).at n=9A042639
- The lexicographically earliest sequence of binary encodings of solutions satisfying the equation given in A059871.at n=12A059873
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=3A061613
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=14A063368
- Number of compositions (ordered partitions) of n that are concave-down sequences.at n=43A070211
- Expansion of 1/(1 - 2*x - 2*x^2 - 3*x^3).at n=8A077834
- Number of ACI algebras or semilattices on n generators with no identity element.at n=4A102895
- Number of bi-secondary structures of size N.at n=10A119495
- Number of different values assumed by a/b+c/d as a,b,c,d range between 1 and n.at n=13A119868
- "666" in bases 7 and higher rewritten in base 10.at n=20A121205
- Half-indexed Lucas numbers a(n)=round(sqrt((1+sqrt(5))/2)^n) a(2n)=L(n)=A000032, so a(n)=L(n/2).at n=34A127207