4576
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 6008
- 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
- 1920
- Möbius Function
- 0
- Radical
- 286
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 108
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 colorings of labeled graphs on n nodes using exactly 2 colors, divided by 4.at n=5A000683
- 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=10A002419
- Restricted partitions.at n=17A002574
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=20A005513
- Truncated tetrahedral numbers: a(n) = (1/6)*(n+1)*(23*n^2 + 19*n + 6).at n=10A005906
- Coordination sequence T1 for Zeolite Code CAS.at n=42A008063
- Coordination sequence T3 for Zeolite Code VSV.at n=43A009916
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=15A031174
- 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 33.at n=20A031531
- Sort-then-add sequence: a(n+1) = a(n) + sort(a(n)).at n=14A033860
- Sort then Add, a(1)=25.at n=10A033902
- Sort then Add, a(1)=32.at n=9A033907
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=32A036333
- Coordination sequence T7 for Zeolite Code STT.at n=45A038419
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=37A049515
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=31A049519
- Starting positions of strings of 2 7's in the decimal expansion of Pi.at n=40A050254
- a(n) = n*(n+1)*(n+2)*(n+3)*(3*n+2)/120.at n=10A051836
- 16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).at n=26A051868
- Coefficient triangle of polynomials (rising powers) related to Pell number convolutions. Companion triangle is A058403.at n=8A058402