7772
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
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14280
- Proper Divisor Sum (Aliquot Sum)
- 6508
- 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
- 3696
- Möbius Function
- 0
- Radical
- 3886
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- Coordination sequence for squashed {D_5}* lattice, perhaps the smallest example of a "non-superficial" lattice.at n=7A010024
- Number of strong elementary edge-subgraphs in Moebius ladder M_n.at n=9A020880
- Position of 5^n among the powers of primes (A000961).at n=7A025471
- a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).at n=26A026037
- Decimal part of a(n)^(1/2) starts with a 'nine digits' anagram.at n=5A034277
- Numbers having four 5's in base 6.at n=22A043392
- Numbers having three 7's in base 10.at n=23A043519
- Trajectory of 19 under the `19x+1' map.at n=11A057685
- Triangle read by rows: number of nonisomorphic semigroups of order n with k idempotents.at n=18A058108
- Expansion of 1/((1-x)^2*(1-x^2)^2*(1-x^3)*(1-x^4)^2*(1-x^5)).at n=22A069957
- Spiro-tetranacci numbers: a(n) = sum of four previous terms that are nearest when terms arranged in a spiral.at n=23A092369
- Number of compositions of n in which the greatest part is even.at n=14A103422
- Number of parts in all partitions of n in which no part occurs more than 3 times.at n=26A117148
- A PolyLog functional polynomial coefficient triangular sequence: p(x,n)=(-1)^(n + 1)*(4*x + x^2)^(n + 1)*PolyLog[ -n, 1 + 4*x + x^2]/(1 + 4*x + x^2).at n=31A142146
- Number of strictly increasing arrangements of 6 nonzero numbers in -(n+4)..(n+4) with sum zero.at n=10A188125
- Monotonic ordering of nonnegative differences 6^i-2^j, for 40>=i>=0, j>=0.at n=38A192117
- Monotonic ordering of nonnegative differences 6^i-4^j, for 40>= i>=0, j>=0.at n=21A192164
- Positions of prime powers p^e with p < e within A000961.at n=22A192187
- Number of nX4 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to at least one horizontal or vertical neighbor.at n=3A199233
- T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to at least one horizontal or vertical neighbor.at n=24A199237