4578
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 5982
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1296
- Möbius Function
- 1
- Radical
- 4578
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 108
- 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
- Convolved Fibonacci numbers.at n=6A001875
- Number of bipartite partitions.at n=11A002764
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=23A004966
- Coordination sequence T1 for Scapolite.at n=43A008262
- a(n) = position of 3*(n^2) in A000408.at n=42A024800
- Expansion of 1/((1-4x)(1-5x)(1-6x)(1-9x)).at n=3A028111
- Numbers k such that k^2 is palindromic in base 13.at n=21A029998
- Numbers whose set of base-13 digits is {1,2}.at n=23A032933
- a(n) = T(2n,n), where T(n,k) is in A037027.at n=6A038112
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049704.at n=45A049708
- Second unsigned column of triangle A051380.at n=4A051562
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=27A051897
- Bisection of Fibonacci triangle A037027: even-indexed members of column sequences of A037027 (not counting leading zeros).at n=51A060920
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=23A064842
- Numbers n such that phi(3n+1) = sigma(n).at n=39A067233
- Number of basis partitions of n+81 with Durfee square size 9.at n=19A069252
- Matrix product of unsigned Lah-triangle |A008297(n,k)| and unsigned Stirling1-triangle |A008275(n,k)|.at n=42A079638
- Matrix product of unsigned Stirling1-triangle |A008275(n,k)| and unsigned Lah-triangle |A008297(n,k)|.at n=42A079640
- a(n) = (8^n - 7^n - 6^n - 5^n + 4*4^n)/2.at n=5A081681
- Number of one-element transitions among partitions of the integer n for labeled parts.at n=14A094533