5072
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 9858
- Proper Divisor Sum (Aliquot Sum)
- 4786
- 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
- 2528
- Möbius Function
- 0
- Radical
- 634
- Omega Function (Ω)
- 5
- 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
- 41
- 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
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=13A005903
- Coordination sequence T6 for Zeolite Code VNI.at n=44A009912
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=68A017894
- Expansion of Product_{m>=1} (1 + q^m)^(3*m).at n=9A027346
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=21A029720
- Number of 6-ary rooted trees with n nodes and height exactly 8.at n=14A036646
- Sum of first n primes of form 4k+1.at n=31A038346
- Partial sums of primes congruent to 1 mod 6.at n=31A038349
- a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.at n=21A057671
- Triangle read by rows: T(n,k) is the number of isomorphism classes of commutative semigroups of order n with k idempotents.at n=34A058116
- Right side of the triangle A075652.at n=41A075649
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutations A085169/A085170.at n=12A086585
- Number of nonisomorphic partitions of n on the Ferrers diagram.at n=33A095814
- Diagonal sums of number triangle A107030.at n=11A107031
- Triangle read by rows: T(n,k) (0 <= k <= ceiling(n/2)-1) is the number of (1,0) steps at level k in all peakless Motzkin paths of length n (can be easily translated into RNA secondary structure terminology).at n=37A110237
- Riordan array (1/(1-3x),x(1-x)/(1-3x)^2).at n=41A114195
- Expansion of 1 + Sum_{k>0} x^k^2/((1-x)(1-x^2)...(1-x^(2k))).at n=44A122129
- In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg.at n=22A130515
- In triangular peg solitaire, number of distinct solvable feasible pairs starting with one peg missing and finishing with one peg.at n=22A130516
- 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, -1), (-1, -1, 0), (-1, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=9A148268