9178
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14868
- Proper Divisor Sum (Aliquot Sum)
- 5690
- 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
- 4224
- Möbius Function
- -1
- Radical
- 9178
- 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
- 60
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=38A000125
- Maximal length of rook tour on an n X n board.at n=23A006071
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=38A020366
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=14A031421
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=18A063055
- a(n) = n*(n - 1)*(2*n^2 + n + 2)/6.at n=13A071246
- Numbers k for which phi(k) = phi(k+1) - phi(k-1).at n=21A076529
- Bisection of A000125.at n=19A100503
- When this sequence is interleaved with its first differences and the resulting sequence is divided into blocks of 10 digits, each block contains 10 distinct digits. Each term is chosen to be the smallest that satisfies this property.at n=8A101246
- Least positive k such that (10^n+1)^n + k is prime.at n=46A121521
- Tribonacci-like sequence; a(0)=2, a(1)=1, a(2)=1, a(n) = a(n-1) + a(n-2) + a(n-3).at n=16A141036
- 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), (0, 0, -1), (0, 1, -1), (1, 0, 0), (1, 1, 0)}.at n=8A149942
- G.f.: -2*(-2 - 11*x - 4*x^2 + x^3)/(x - 1)^4.at n=11A152110
- Maximal length of rook tour on an n X n+2 board.at n=22A152133
- Row sums of A163357 and A163359 divided by 4.at n=35A163477
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=32A163562
- Number of 0..20 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=2A171326
- Number of 0..n-1 integer arrays v[1..3] of length 3 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..2.at n=20A171354
- Numbers that are the product of 3 distinct primes a,b and c, such that a^2+b^2+c^2 is the average of a twin prime pair.at n=41A176879
- a(n) = n*(14*n - 11).at n=26A195021