5375
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6864
- Proper Divisor Sum (Aliquot Sum)
- 1489
- 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
- 4200
- Möbius Function
- 0
- Radical
- 215
- Omega Function (Ω)
- 4
- 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
- 98
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code DDR.at n=46A008072
- Number of trees on n nodes with 3 forbidden limbs of size 4, 5 and 6.at n=13A014280
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=25A020443
- a(n) = (1/2)*s(n+3), where s = A025248.at n=11A025249
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=36A032988
- Numbers whose base-4 representation contains exactly two 1's and four 3's.at n=20A045123
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=13A045201
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n.at n=29A057250
- Numbers k such that 2*3^k + 35 is prime.at n=32A059768
- Least k such that gcd(prime(k)+1, prime(k+1)+1) = 2n.at n=13A067603
- Hypotenuses for which there exist exactly 3 distinct integer triangles.at n=29A084647
- Expansion of (1 - x - sqrt(1 - 2*x + x^2 - 8*x^3)) / (4*x^2) in powers of x.at n=13A091565
- G.f. satisfies: A(x) = 1/(1 + x*A(x^2)) and also the continued fraction: 1 + x*A(x^3) = [1; 1/x, 1/x^2, 1/x^4, 1/x^8, ..., 1/x^(2^(n-1)), ...].at n=40A101912
- a(1)=9; a(n)=floor((47+sum(a(1) to a(n-1)))/5).at n=35A120177
- Numbers k such that 3*k+2, 4*k+3 and 5*k+4 are primes.at n=36A126956
- Number of ordered rooted trees where each subtree from given node has the same number of nodes.at n=21A127525
- A sequence of asymptotic density zeta(9) - 1, where zeta is the Riemann zeta function.at n=10A143035
- 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), (0, 1, -1), (0, 1, 1), (1, 0, 0), (1, 1, 1)}.at n=6A151199
- Number of proper divisors of n!.at n=16A153823
- Number of unordered factorizations of n! into two distinct proper factors.at n=15A157672