6297
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 2103
- 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
- 4196
- Möbius Function
- 1
- Radical
- 6297
- 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
- 62
- 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
- Number of achiral rooted trees.at n=22A003241
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=17A020411
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=28A022870
- Self-convolution of (1, p(1), p(2), ...).at n=18A023626
- a(n) = (d(n) - r(n))/5, where d = A026037 and r is the periodic sequence with fundamental period (1,2,0,2,0).at n=43A026039
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 52.at n=28A031550
- Triangle T(n,k) of numbers of proper k-covers of an unlabeled n-set, k=1..2^n-2.at n=45A055127
- Number of partitions of an n-set with exactly one even block.at n=8A096579
- Triangle read by rows: T(n,k), for k=-n..n-1, is the scaled (by 2^n n!) probability that the sum of n uniform [-1, 1] variables is between k and k+1.at n=58A101842
- Triangle formed by left half of A101842, read by rows.at n=30A101845
- Triangle formed by right half of A101842, read by rows.at n=33A102012
- Number of 3 X 3 X 3 X 3 magic cubes with magic sum 3n.at n=2A111086
- Numbers k such that k and 5*k, taken together, are zeroless pandigital.at n=7A115930
- Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} (or of any n-set) having k blocks of even size (0<=k<=floor(n/2)).at n=26A124322
- Numbers of the form 56+p^2 (where p is a prime).at n=21A138690
- G.f. A(x) satisfies A(x) = 1 + x*A(x*A(x))^3.at n=6A143435
- Number of 12-core partitions of n.at n=43A192061
- Numbers n such that 6n and sigma(6n) are both a twin prime average.at n=43A202607
- Minimum value unattainable as the sum of 2 attained values of a*b+a*c+b*c with a,b,c 0..n integers.at n=34A225272
- Number of compositions of n avoiding three consecutive parts in arithmetic progression.at n=15A238423