6467
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 253
- 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
- 6216
- Möbius Function
- 1
- Radical
- 6467
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 168
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=42A025200
- Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=31A035987
- Number of squares (of another matrix) in M_2(n) - the ring of 2 X 2 matrices over Z_n.at n=14A068197
- Rounded volume of a regular tetrahedron with edge length n.at n=38A071399
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=28A072611
- a(n)=A074639(A074647(n)).at n=30A074648
- Sum of odd-indexed primes.at n=37A077131
- Column 1 of triangle A091604.at n=23A091611
- Numbers n such that prime(n) == -7 (mod n).at n=16A092049
- Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/3.at n=7A103593
- Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/6.at n=15A103599
- The difference between the largest part and the smallest part summed over all those partitions of n in which every integer from the smallest part to the largest part occurs.at n=41A117471
- Partial sums of primes that are not Chen primes (starting with 1).at n=26A118483
- Numbers n such that partition number p(n) == 14 (mod n).at n=8A121015
- Numbers k such that abundance(k) + abundance(k+1) = 2.at n=6A137205
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 1, -1), (0, 1, 0), (1, 0, 1)}.at n=7A150280
- a(n) = 196*n - 1.at n=32A158225
- Positive numbers y such that y^2 is of the form x^2+(x+223)^2 with integer x.at n=7A159809
- Numbers that are the product of two distinct primes and they are partial sum of products of two distinct primes.at n=20A168476
- Numbers k such that 6*k + 7 = p^2 (p=prime).at n=42A171140