6964
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12194
- Proper Divisor Sum (Aliquot Sum)
- 5230
- 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
- 3480
- Möbius Function
- 0
- Radical
- 3482
- Omega Function (Ω)
- 3
- 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
- 31
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T1 atom.at n=12A019087
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=13A031820
- Numbers k such that 55*2^k+1 is prime.at n=16A032377
- Multiplicity of highest weight (or singular) vectors associated with character chi_78 of Monster module.at n=37A034466
- Numerators of continued fraction convergents to sqrt(172).at n=7A041316
- Floor( Pi * (3/2)^n ).at n=19A047625
- a(n) is twice the coefficient of 1 in the fundamental unit of Q(sqrt(A000037(n))) where A000037 lists the nonsquare numbers (Version 1).at n=36A048941
- Numbers n such that 287*2^n-1 is prime.at n=17A050902
- Numbers n such that x^n + x^13 + 1 is irreducible over GF(2).at n=14A057483
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=43A061429
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=25A063372
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along antidiagonals (A069480).at n=22A072332
- Interprimes which are of the form s*prime, s=4.at n=29A075279
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A082339/A082340.at n=10A089429
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=19A099834
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=21A104809
- a(n) = 8*n^2 + 8*n + 4.at n=29A108099
- Number of binary rooted trees with n nodes and internal path length n.at n=41A108643
- 3-almost primes with semiprime digits (digits 4, 6, 9 only).at n=19A111494
- 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, 0), (-1, 1, -1), (-1, 1, 0), (0, 0, 1), (1, 0, -1)}.at n=10A148128