7768
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14580
- Proper Divisor Sum (Aliquot Sum)
- 6812
- 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
- 3880
- Möbius Function
- 0
- Radical
- 1942
- Omega Function (Ω)
- 4
- 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
- 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 bipartite partitions.at n=15A002766
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in 5-card poker when joker is wild.at n=5A014356
- Number of ways of getting 5 of a kind, a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=5A014357
- Pisot sequence T(7,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=34A020752
- 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 21.at n=39A031519
- Convolution of A000010 with itself.at n=46A065093
- Sum of A095734(p) for all primes p such that Fib(n+1) <= p < Fib(n+2) (where Fib = A000045).at n=21A095732
- Numbers n such that (6^n+1)^2-2 is prime.at n=17A100902
- G.f.: (x-1)/(-2*x^2 + 3*x^3 + 2*x - 1).at n=17A102785
- Triangle read by rows: T(n,k) is the number of binary trees (each vertex has 0, or 1 left, or 1 right, or 2 children) with k edges and all leaves at level n.at n=41A106375
- Symmetric triangle, read by rows, where row n equals the (n+1)-th differences of the crystal ball sequence for D_n lattice, for n>=0.at n=39A108558
- Symmetric triangle, read by rows, where row n equals the (n+1)-th differences of the crystal ball sequence for D_n lattice, for n>=0.at n=41A108558
- Number of meaningful differential operations of the k-th order on the space R^11.at n=10A129638
- a(n) = Sum_{k=1..n-1} k*A110971(n,k).at n=10A152086
- Number of zig-zag paths from top to bottom of an n X n square whose color is that of the top right corner.at n=11A153334
- Number of zig-zag paths from top to bottom of an n X n square whose color is not that of the top right corner.at n=11A153335
- Number of zig-zag paths from top to bottom of a 2n by 2n square whose color is that of the top right corner.at n=5A153336
- Number of n X 3 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nonincreasing order.at n=33A166830
- Monotonic ordering of nonnegative differences 6^i-2^j, for 40>=i>=0, j>=0.at n=37A192117
- Number of sequences of n coin flips, that win on the last flip, if the sequence of flips ends with (1,1,0) or (1,0,1).at n=23A196382