5793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7728
- Proper Divisor Sum (Aliquot Sum)
- 1935
- 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
- 3860
- Möbius Function
- 1
- Radical
- 5793
- 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
- 54
- 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
- no
- Odd
- yes
Appears in sequences
- Powers of sqrt(2) rounded to nearest integer.at n=25A017911
- Powers of sqrt(2) rounded up.at n=25A017912
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=31A020391
- 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=25A031548
- Nearest integer to n^(5/2).at n=32A036488
- Number of partitions of n with equal number of even and odd parts.at n=45A045931
- a(n) = A017911(n+1) = round(sqrt(2)^(n+1)).at n=24A057048
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=36A063373
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=30A067773
- a(0) = 1 and, for n >= 1, (BM)a(n) = 2*a(n-1), where BM is the BinomialMean transform.at n=4A075271
- Difference between product of divisors of n and sum of divisors of n.at n=17A076721
- Numbers k such that 7*11^k + 2 is prime.at n=17A083366
- Indices of primes in sequence defined by A(0) = 73, A(n) = 10*A(n-1) + 23 for n > 0.at n=6A101144
- Numbers k such that floor(k*sqrt(2)) is a power of 2.at n=8A103341
- Composite Fibonacci sequence: each term is the composite with index equal to the sum of the previous two terms.at n=11A107390
- Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.at n=18A114166
- Semiprimes (A001358) that are sums of distinct factorials.at n=34A115646
- A bisection of A129095: a(n) = A129095(2n-1) for n>=1.at n=38A129096
- Number of squares <= 2^n.at n=25A136417
- Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2*k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 3, read by rows.at n=22A157274