10778
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17172
- Proper Divisor Sum (Aliquot Sum)
- 6394
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5056
- Möbius Function
- -1
- Radical
- 10778
- 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
- 68
- 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
- Expansion of the reciprocal of the g.f. defining A039924.at n=17A003116
- Number of connected regular simple graphs of degree 4 (or quartic graphs) with n nodes.at n=13A006820
- Column 6 of triangle A055907.at n=6A055912
- Triangular array C(n, r) = number of connected r-regular graphs with n nodes, 0 <= r < n.at n=82A068934
- Numbers k such that sigma(sigma(k) - k) = phi(sigma(k) + k).at n=10A074886
- a(n) = prime(n) + prime(n^2).at n=35A092504
- Irregular triangle C(n,g) counting the connected 4-regular simple graphs on n vertices with girth at least g.at n=13A184941
- Composite squarefree numbers n such that p+tau(n) divides n+sigma(n), where p are the prime factors of n, tau(n) = A000005(n) and sigma(n) = A000203(n).at n=0A229275
- Number of pyramid polycubes of a given volume in dimension 3.at n=16A229914
- Number of partitions p of n such that (number of even numbers in p) <= (number of odd numbers in p).at n=35A241637
- Number of partitions p of n such that (number of numbers in p of form 3k+2) = (number of numbers in p of form 3k).at n=40A241741
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=30A270335
- Sum of horizontal positions of the first peak in all bargraphs of semiperimeter n.at n=10A277973
- Nonprime numbers k such that the sum of the divisors of k^2 is of the form m^2 + m + 1.at n=24A289385
- Number of prime parts in the partitions of n into 8 parts.at n=39A309437
- Number of totally transitive rooted trees with n leaves.at n=14A318187
- a(n) = minimal value of n+k (with k >= 1) such that the concatenation of the decimal digits of n,n+1,...,n+k is divisible by n+k+1, or -1 if no such n+k exists.at n=39A332584
- Coefficients in the even function A(x) = Sum_{n>=0} a(n)*x^(2*n) such that: 2 = Sum_{n=-oo..+oo} x^n * (x^n + i*sqrt(A(x)))^n, where i^2 = -1.at n=11A355867