13078
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 8090
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6024
- Möbius Function
- -1
- Radical
- 13078
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 169
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Maximal length of rook tour on an n X n board.at n=26A006071
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=38A023545
- Sum of the differences between the largest part and smallest part over all partitions of n into distinct parts.at n=37A117455
- Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2.at n=37A127485
- The Wiener index of a chain of n triangles (i.e., joined like VVV..VV; here V is a triangle!).at n=25A143941
- Expansion of g.f. 1 - 2*x*(-7 - 10*x + x^2)/(x - 1)^4.at n=13A152100
- Number of isomorphism classes of nanocones with 4 pentagons and a symmetric boundary of length n.at n=15A198015
- Number of 2n-bead necklaces labeled with numbers 1..6 not allowing reversal, with neighbors differing by exactly 1.at n=9A208725
- Number of partitions p of n such that max(p)-min(p) = 7.at n=41A218570
- Number of n X 3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.at n=7A297577
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.at n=52A297582
- Number of permutations p of [n] such that |p(i) - p(i-1)| <= 2 and |p(i) - p(i-2)| <= 3.at n=26A333833
- Number of compositions (ordered partitions) of n into at most 5 squarefree parts.at n=37A347780
- Number of integer partitions of n that cannot be partitioned into a set (or multiset) of sets with distinct sums.at n=39A381990
- Number of polyforms with n cells on the faces of a rhombic triacontahedron up to rotation.at n=12A383491
- Number of integer partitions of n such that the least and greatest parts are both even or both odd.at n=37A391225