6976
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 13970
- Proper Divisor Sum (Aliquot Sum)
- 6994
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 218
- Omega Function (Ω)
- 7
- 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
- 119
- 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 sum-free subsets of {1, ..., n}.at n=19A007865
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=31A020399
- Numbers with 14 divisors.at n=30A030632
- 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 41.at n=28A031539
- Positive numbers having the same set of digits in base 8 and base 9.at n=28A037441
- 16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).at n=32A051868
- Number of n X n binary matrices of order dividing 2 (also number of solutions to X^2=I in GL(n,2)).at n=4A053722
- The floor(n/3)-perfect numbers, where f-perfect numbers for an arithmetical function f are defined in A066218.at n=11A066238
- Centered 15-gonal numbers: a(n) = (15*n^2 - 15*n + 2)/2.at n=30A069128
- Nonprimes in A084111.at n=42A084112
- Numbers k such that the k-th Catalan number C(2k, k)/(k + 1) is divisible by k/2 but not divisible by k.at n=36A120622
- Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has a positive integer solution, n is a term in the sequence.at n=40A125756
- a(n) = 2*a(n-1) + 14*a(n-2) for n>1, a(0)=1, a(1)=1.at n=6A133345
- Row sums of triangle A134464.at n=31A134465
- 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, 0, 1), (0, 0, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150480
- Numbers n with property that A100486(n) is square.at n=46A156913
- a(n) = 225*n + 1.at n=30A158229
- Maxima in A163169.at n=34A163172
- a(n) = 109*n^2.at n=8A174339
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=36A178980