4470
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 6330
- 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
- 1184
- Möbius Function
- 1
- Radical
- 4470
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Number of 2-factors in D_4 X P_n.at n=6A003758
- Number of minimal plane trees with n terminal nodes.at n=31A006241
- Dimension of n-th compound of a certain space.at n=12A007182
- Coordination sequence T4 for Zeolite Code FER.at n=41A008109
- Coordination sequence T5 for Zeolite Code RUT.at n=44A009901
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=23A014088
- a(n) = Sum_{i=1..floor((n+1)/4)} a(2*i-1) * a(n-2*i+1), with a(1)=a(2)=1 and a(3)=6.at n=12A024731
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=6.at n=11A024953
- Multiplicity of highest weight (or singular) vectors associated with character chi_8 of Monster module.at n=38A034396
- Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1.at n=44A035939
- Base-9 palindromes that start with 6.at n=12A043033
- Sum of the first n palindromes (A002113).at n=37A046489
- Numbers k such that 8^k == -1 (mod k-1).at n=10A055691
- Triangle read by rows: entries give numbers of permutations of [1..n] by absolute barycenter.at n=34A062867
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=27A064483
- Sum of next n integer interprimes (cf. A024675).at n=11A075673
- Number of arithmetic subsequences of [1..n] with length > 1.at n=49A078567
- a(n)=number of Catalan knight paths in right half-plane from (0,0) to (n,n).at n=14A096612
- Indices of primes in the sequence defined by A(0) = 67, A(n) = 10*A(n-1) - 53 for n > 0.at n=6A101520
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=19A111078