4563
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7320
- Proper Divisor Sum (Aliquot Sum)
- 2757
- 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
- 2808
- Möbius Function
- 0
- Radical
- 39
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 152
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Tetrahedral numbers written backwards.at n=27A004161
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=38A004210
- Number of paraffins.at n=25A005997
- Left diagonal of partition triangle A047812.at n=27A007042
- Coordination sequence T3 for Zeolite Code DAC.at n=42A008069
- Integers k such that k divides 22^k - 1.at n=40A014959
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=39A026068
- a(n) = Sum_{k=0..n} (k+1) * T(n, k), with T given by A026300.at n=7A026943
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=42A027430
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=30A029458
- a(n) = 3*n^2.at n=39A033428
- Multiplicity of highest weight (or singular) vectors associated with character chi_115 of Monster module.at n=40A034503
- Coordination sequence T1 for Zeolite Code STT.at n=45A038428
- Gaps of 7 in sequence A038593 (lower terms).at n=18A038653
- Numbers ending with '3' that are the difference of two positive cubes.at n=12A038858
- a(n) = (n+3)^3 - n^3.at n=20A038865
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=32A045228
- Numbers k that divide 7^k + 2^k.at n=21A045580
- Numbers k that divide 7^k + 5^k.at n=19A045596
- a(1)=4; if n = Product p_i^e_i, n > 1, then a(n) = Product p_{i+1}^{e_i+1}.at n=43A045967