6288
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 16368
- Proper Divisor Sum (Aliquot Sum)
- 10080
- 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
- 2080
- Möbius Function
- 0
- Radical
- 786
- Omega Function (Ω)
- 6
- 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
- 62
- 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
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,1.at n=10A022854
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027588
- Irreducible Euler sums of weight 8 and depth 10+2n.at n=11A031164
- Triangle read by rows: matrix cube of the Stirling2 triangle A008277.at n=16A039811
- Numbers whose base-7 representation contains exactly four 2's.at n=23A043404
- a(n) = T(2*n+4, n), array T as in A051168 (a count of Lyndon words).at n=8A050182
- McKay-Thompson series of class 20B for Monster.at n=19A058551
- McKay-Thompson series of class 45A for Monster.at n=49A058684
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=17A060822
- Multiples of 24 whose digits also sum to 24.at n=17A066270
- Product of n-th prime number and n-th composite number.at n=31A067563
- Partial sums of A068058 + 1.at n=31A068059
- Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives sum of n-th group.at n=31A074124
- Numbers k such that the k-th prime + k is a cube.at n=6A076147
- Leading diagonal of A083173.at n=31A083174
- Local maxima of A053707 (first differences of A025475, powers of a prime but not prime).at n=40A088365
- a(n) is the least x such that A094892(x)=n.at n=6A095391
- Numbers n such that prime(n) + n is a perfect power.at n=31A107605
- Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n.at n=38A108576
- Numbers n such that prime(n) + n is a prime power (A246547).at n=11A109314