5988
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14000
- Proper Divisor Sum (Aliquot Sum)
- 8012
- 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
- 1992
- Möbius Function
- 0
- Radical
- 2994
- 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
- 49
- 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 distinct products ijk with 0 <= i < j < k <= n.at n=48A027429
- 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 50.at n=36A031548
- a(n) = smallest multiple of 4 with sum of digits = n.at n=29A077489
- Inverse Moebius transform of the shifted tetrahedral numbers.at n=30A116963
- n-th central term of triangle A118032 divided by n+1 for n>=0, where the matrix square of A118032 forms a diagonal bisection of A118032.at n=11A118039
- Total length of longest runs of 1's in all bitstrings of length n.at n=10A119706
- Expansion of (phi(q) * phi(q^2))^3 in powers of q where phi() is a Ramanujan theta function.at n=34A136028
- 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), (-1, 0, 1), (0, 0, -1), (1, 0, 0), (1, 1, 0)}.at n=7A150344
- Number of solutions to +-1+-2^4+-3^4+-4^4...+-n^4=0.at n=31A158465
- Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.at n=17A189499
- Augmentation of the triangle A193592. See Comments.at n=33A193593
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3>x^3+y^3.at n=23A211811
- Number of n X n rook placements avoiding the pattern 012.at n=6A221957
- 6*2^n - n^2 - 5*n - 6.at n=10A229788
- Number of commutative inverse monoids of order n.at n=8A234845
- Positive integers m with p(m)^2 + q(m)^2 prime, where p(.) is the partition function (A000041) and q(.) is the strict partition function (A000009).at n=45A236413
- (2^(p-1) modulo p^2) + (3^(p-1) modulo p^2), where p = prime(n).at n=20A240987
- Main diagonal of square arrays A114881 and A249741.at n=15A249743
- The smallest amount which cannot be made with fewer than n British coins.at n=35A258272
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 173", based on the 5-celled von Neumann neighborhood.at n=42A270468