5938
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
- 4
- Divisor Sum
- 8910
- Proper Divisor Sum (Aliquot Sum)
- 2972
- 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
- 2968
- Möbius Function
- 1
- Radical
- 5938
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=44A000123
- Number of skeins with 2n+1 edges.at n=7A007167
- a(n+1) = a(n) converted to base 7 from base 4 (written in base 10).at n=7A023375
- 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 76.at n=10A031574
- Schoenheim bound L_1(n,6,5).at n=17A036833
- a(n+1) = a(n)+greatest prime divisor of a(n-1).at n=40A078695
- Numbers k such that for any positive integers (a, b), if a * b = k then a + b is prime.at n=57A080715
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=19A090177
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=23A092231
- Number of partitions of n with rank 1 (the rank of a partition is the largest part minus the number of parts).at n=46A101198
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1.at n=42A113744
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=33A113748
- Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence).at n=51A122795
- Numbers k such that k * Fibonacci(k) + 1 is prime.at n=37A134313
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=29A161463
- Integer quartets a(4k)= 2, a(4k+1) = 32*k^2-24*k+3, a(4k+2) = 32*k^2-24*k+2, a(4k+3) = 8*k-3, k>=1.at n=54A162155
- Number of (n+1) X (n+1) -11..11 symmetric matrices with every 2 X 2 subblock having sum zero and two distinct values.at n=12A211710
- Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237457
- Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237458
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=7A237463