4561
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4562
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4560
- Möbius Function
- -1
- Radical
- 4561
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 618
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime factor of 3^(2n+1) - 1.at n=7A002591
- Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and expand (1-x)*(1-x^2)*(1-x^3)*...*F(x) in powers of x.at n=14A005980
- Coordination sequence T2 for Zeolite Code MEP.at n=40A008158
- Coordination sequence T1 for Zeolite Code MFI.at n=43A008161
- Coordination sequence for MgZn2, Mg position.at n=17A009939
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=32A014755
- Cyclotomic polynomials at x=3.at n=15A019321
- Numbers k such that the continued fraction for sqrt(k) has period 97.at n=0A020436
- Cyclotomic polynomials at x=-3.at n=30A020502
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=44A020644
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=42A023248
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=25A025024
- Primes of the form k^2 + k + 5.at n=20A027755
- Palindromic primes in base 4.at n=17A029972
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=36A031417
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=19A031802
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=6A045232
- Smallest palindrome greater than n in bases n and n+1.at n=45A048268
- Number of factorizations into distinct factors with 2 levels of parentheses indexed by prime signatures. A050347(A025487).at n=41A050348
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 5.at n=46A050667