4554
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11232
- Proper Divisor Sum (Aliquot Sum)
- 6678
- 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
- 1320
- Möbius Function
- 0
- Radical
- 1518
- Omega Function (Ω)
- 5
- 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
- 59
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=34A000092
- Powers of rooted tree enumerator.at n=8A000529
- a(n) = (5*n+1)*(5*n+4).at n=13A001545
- a(n) = 3*binomial(4*n+8, n)/(n+3).at n=4A006634
- Let j = | i - i_written_backwards |, k = j + j_written_backwards; then k is in this sequence.at n=29A008920
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=46A011902
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=39A014569
- a(n) = n*(7*n + 1)/2.at n=36A022265
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=44A023166
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=17A024194
- Palindromes of form n(n+3).at n=4A028554
- Concatenation of n and n + 9 or {n,n+9}.at n=44A032614
- Palindromic Super-3 Numbers.at n=0A032751
- Palindromes that start with 4.at n=17A043039
- Palindromic and divisible by 3.at n=48A045638
- Palindromes that are divisible by 6.at n=20A045641
- Palindromic and divisible by 9.at n=16A045644
- Palindromes with exactly 5 prime factors (counted with multiplicity).at n=11A046331
- Composite palindromes with an odd number of prime factors (counted with multiplicity).at n=48A046341
- Palindromes expressible as sum of 2 consecutive palindromes.at n=43A046497