4577
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 223
- 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
- 4356
- Möbius Function
- 1
- Radical
- 4577
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 152
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=23A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=23A004946
- Coordination sequence T6 for Zeolite Code MFI.at n=43A008169
- Pseudoprimes to base 11.at n=18A020139
- Pseudoprimes to base 18.at n=28A020146
- Pseudoprimes to base 60.at n=15A020188
- Pseudoprimes to base 61.at n=38A020189
- Pseudoprimes to base 62.at n=34A020190
- Pseudoprimes to base 63.at n=17A020191
- Pseudoprimes to base 74.at n=25A020202
- Pseudoprimes to base 78.at n=20A020206
- Pseudoprimes to base 85.at n=38A020213
- Pseudoprimes to base 96.at n=22A020224
- Strong pseudoprimes to base 11.at n=3A020237
- Strong pseudoprimes to base 18.at n=8A020244
- Strong pseudoprimes to base 60.at n=7A020286
- Strong pseudoprimes to base 62.at n=14A020288
- Strong pseudoprimes to base 74.at n=11A020300
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=39A020379
- Numbers whose set of base-13 digits is {1,2}.at n=22A032933