7568
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 16368
- Proper Divisor Sum (Aliquot Sum)
- 8800
- 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
- 3360
- Möbius Function
- 0
- Radical
- 946
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=42A003451
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,2,2).at n=4A005543
- a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).at n=10A008780
- Convolution of primes with themselves.at n=17A014342
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T5 atom.at n=12A019134
- dot product (n,n-1,...2,1).(3,4,...,n,1,2).at n=30A026054
- a(n) = Sum_{k=0..floor((n-5)/2)} T(n,k) * T(n,k+1), with T given by A008315.at n=5A027304
- Numbers k such that 115*2^k+1 is prime.at n=13A032407
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=43A033996
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0.at n=4A037663
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=32A045276
- Number of points in N^n of norm <= 2.at n=21A055417
- Number of 4-block ordered tricoverings of an unlabeled n-set.at n=31A060488
- When cubed gives number composed just of the digits 1, 2, 3, 4, 5.at n=18A061813
- a(0)=1, a(n) = 8*n*(2*n-1).at n=22A067239
- Centered heptagonal numbers.at n=46A069099
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=27A075931
- Numbers k that have no zero digits and such that both k+1 and (product of digits of k) + 1 are squares.at n=11A081990
- a(n) = A088314(n) - A000009(n).at n=42A088571
- a(n) = A051707(A025487).at n=23A108460