7660
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 8468
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3056
- Möbius Function
- 0
- Radical
- 3830
- 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
- 176
- 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 factorization patterns of polynomials of degree n over F_5.at n=18A006170
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=24A020419
- Matrix 8th power of partition triangle A008284.at n=48A050302
- McKay-Thompson series of class 48A for Monster.at n=54A058691
- Numbers n such that 3^n-2^(n-1) is prime.at n=27A095906
- Numbers k such that k and k^2 use only the digits 0, 5, 6, 7 and 8.at n=5A136963
- 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, 1, 1), (0, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=7A150272
- a(n) = n*(7*n + 11)/2 + 1.at n=46A198017
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n.at n=18A211140
- T(n,k)=Number of nX(k+1) 0..3 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope.at n=15A223751
- Number of 1X(n+1) 0..3 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope.at n=5A223752
- Numbers k such that sigma(tau(phi(k))) = phi(tau(sigma(k))).at n=34A226118
- Number of compositions of 2n into parts with multiplicity <= n.at n=7A232605
- Number of compositions of n into parts with multiplicity not larger than 7.at n=14A243085
- Number T(n,k) of endofunctions f on [n] that are self-inverse on [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=42A245348
- Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2.at n=15A255220
- Expansion of Product_{k>=1} (1+x^(3*k-1))^k.at n=57A262878
- Even numbers such that the sum of the even divisors and the sum of the odd divisors are a square or a cube.at n=13A263695
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood.at n=22A268154
- Numbers n such that Bernoulli number B_{n} has denominator 330.at n=20A272183