7746
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
- 8
- Divisor Sum
- 15504
- Proper Divisor Sum (Aliquot Sum)
- 7758
- 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
- 2580
- Möbius Function
- -1
- Radical
- 7746
- Omega Function (Ω)
- 3
- 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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=44A005899
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=22A010006
- 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 88.at n=0A031586
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 88.at n=1A031766
- Number of forests of identical trees.at n=15A035054
- a(n) is root of square starting with digit 6: first term of runs.at n=6A035073
- Number of partitions of n into parts 3k or 3k+2.at n=54A035361
- Number of Hamiltonian paths in the graph on n vertices {1,...,n}, with i adjacent to j iff |i-j| <= 2.at n=21A069241
- Number of Sophie Germain primes less than 10^n.at n=5A092816
- Number of partitions of {1...n} containing 4 strings of 3 consecutive integers, where each string is counted within a block and a string of more than 3 consecutive integers are counted three at a time.at n=6A105486
- Numbers k such that k*(k+2) gives the concatenation of two numbers m and m+7.at n=0A116335
- 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), (0, 0, -1), (0, 0, 1), (0, 1, -1), (1, 0, -1)}.at n=9A149075
- 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, 0), (0, 0, -1), (0, 1, -1), (1, 0, 1)}.at n=8A149320
- Transform of central binomial coefficients A000984 whose Hankel transform obeys a Somos-4 recurrence.at n=8A157004
- Riordan array (1/u,(1-u)/2), u=sqrt(1-4x+4*x^3).at n=36A168151
- Partial sums of A118371.at n=40A173520
- Number of signed permutations of size 2n invariant under D and D'bar and avoiding (-2, 1) and (2, -1).at n=8A193777
- a(n) = 6^n - 6*n.at n=5A198396
- Triangle of coefficients of polynomials v(n,x) jointly generated with A208610; see the Formula section.at n=53A208611
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209819; see the Formula section.at n=53A209820