5966
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9480
- Proper Divisor Sum (Aliquot Sum)
- 3514
- 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
- 2808
- Möbius Function
- -1
- Radical
- 5966
- 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
- 142
- 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 Product_{m>=1} (1-m*q^m)^19.at n=5A022679
- n-th diagonal sum of right justified array T given by A027960.at n=17A027976
- Numbers k such that 87*2^k+1 is prime.at n=19A032393
- Numbers k such that 177*2^k+1 is prime.at n=43A032465
- Number of "connected animals" formed from n 6-gon connected truncated octahedra (or corner-connected cubes) in the b.c.c. lattice, allowing translation and rotations of the lattice.at n=6A038170
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 5.at n=8A038636
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=27A055468
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=32A057285
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=30A059358
- Number of polyhexes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion).at n=11A075209
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=34A085950
- Numbers n such that A001414(n) = sum of squared digits of n.at n=12A094908
- Indices of primes in sequence defined by A(0) = 49, A(n) = 10*A(n-1) - 61 for n > 0.at n=2A101722
- Numbers k such that k and k^2 use only the digits 1, 3, 5, 6 and 9.at n=19A137035
- 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, 0, 1), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=8A148981
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 8.at n=4A154071
- n times the n-th noncomposite.at n=37A164931
- Sequence by greedy construction satisfying Lucier-Sárközy difference set condition.at n=45A174911
- 1-sequence of reduction of (n^2+n+1) by x^2 -> x+1.at n=9A192142
- Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=26A212534