5163
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6888
- Proper Divisor Sum (Aliquot Sum)
- 1725
- 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
- 3440
- Möbius Function
- 1
- Radical
- 5163
- 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
- Number of strict n-node animals on b.c.c. lattice.at n=5A007195
- 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 71.at n=10A031569
- Numbers k such that k^10 == 1 (mod 11^3).at n=37A056085
- Coordination sequence T1 for Zeolite Code MTF.at n=43A057304
- The array described in A059513 read by antidiagonals in the 'up' direction.at n=23A059574
- The array described in A059513 read by antidiagonals in the direction of construction.at n=25A059575
- Initial n digits in decimal portion of golden ratio phi = (1 + sqrt 5)/2 form a prime number.at n=4A065868
- a(n) = 6*n^2 + 4*n + 1.at n=29A080859
- A bisection of A000960.at n=40A099061
- Number of gap-free compositions of n into distinct parts, cf. A107428.at n=34A107461
- Semiprimes (A001358) that are sums of distinct factorials.at n=28A115646
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-1110-0111-0010 pattern in any orientation.at n=11A146916
- The terms of this sequence are integer values of consecutive denominators (with signs) from the fractional expansion (using only fractions with numerators to be positive 1's) of the BBP polynomial ( 4/(8*k+1) - 2/(8*k+4) - 1/(8*k+5) - 1/(8*k+6) ) for all k (starting from 0 to infinity).at n=20A154925
- Riordan's general Eulerian recursion: T(n,k) = (k+2)*T(n-1, k) + (n-k) * T(n-1, k-1), with T(n,0) = 1, T(n,n) = 0.at n=31A157012
- a(1)= 1; a(2)= 5; thereafter a(n)= a(n-1) + a(n-2) + 5.at n=14A166863
- Number of nonempty subsets of {1, 2, ..., n} with <= 4 pairwise coprime elements.at n=29A187265
- Numbers that can be written using its own digits in order and by using addition and factorial operators.at n=6A195670
- Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w + x + y = 2.at n=41A211441
- D-toothpick sequence of the third kind starting with a single toothpick.at n=46A220500
- Number of partitions p of n such that m(p) = m(c(p)), where m = maximal multiplicity of parts, and c = conjugate.at n=42A240728