5363
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5568
- Proper Divisor Sum (Aliquot Sum)
- 205
- 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
- 5160
- Möbius Function
- 1
- Radical
- 5363
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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 loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=28A006416
- n written in fractional base 7/5.at n=31A024642
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=32A027419
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=15A091332
- Numbers k such that phi(k)*k is a triangular number.at n=8A115910
- a(n) = (A001147(n) + A047974(n))/2.at n=6A132101
- Number of nonprime parts in the last section of the set of partitions of n.at n=28A144121
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 0110-1100-0111 pattern in any orientation.at n=13A146805
- Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton whose virtual skeleton is a polyedge as the toothpick structure of A139250 but with toothpicks of length 6.at n=45A160422
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=36A164754
- Number of Golomb rulers of length n.at n=28A169942
- Integer solutions x to the equation A064380(x)-A000010(x)=5.at n=39A186781
- The Wiener index of the graph obtained by applying Mycielski's construction to the cycle graph C(n).at n=24A228320
- Indices of primes in A100683.at n=16A232543
- Index sequence for limit-reversing A000002; see Comments.at n=30A245937
- Partial sums of A072272.at n=46A253908
- Expansion of Product_{k>=1} 1/(1 - x^(2*k+1))^(2*k+1).at n=24A263199
- Numbers k such that 2*k - 3, 2*k + 3, 3*k - 2, 3*k + 2 are primes.at n=41A294064
- Number of configurations, excluding reflections and color swaps, of n beads each of six colors on a string.at n=1A296146
- Number of n X 3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=4A300467