4774
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 4442
- 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
- 1800
- Möbius Function
- 1
- Radical
- 4774
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 103
- 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
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=44A000566
- Coordination sequence T3 for Zeolite Code GOO.at n=47A008113
- Coordination sequence for FeS2-Pyrite, S position.at n=32A009956
- Even heptagonal numbers (A000566).at n=22A014640
- Pseudoprimes to base 67.at n=38A020195
- Theta series of A*_6 lattice.at n=48A023918
- Numbers whose set of base-13 digits is {2,3}.at n=17A032813
- Every run of digits of n in base 13 has length 2.at n=26A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=40A033026
- Multiplicity of highest weight (or singular) vectors associated with character chi_38 of Monster module.at n=34A034426
- Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=32A039872
- Palindromes that start with 4.at n=19A043039
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=30A043293
- Positive integers having more base-13 runs of even length than odd.at n=28A044839
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=18A045099
- Palindromic and divisible by 7.at n=22A045642
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=27A046330
- Palindromes with exactly 4 distinct prime factors.at n=4A046394
- Palindromes expressible as sum of 2 consecutive palindromes.at n=44A046497
- Palindromic heptagonal numbers.at n=6A054910