10380
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 29232
- Proper Divisor Sum (Aliquot Sum)
- 18852
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2752
- Möbius Function
- 0
- Radical
- 5190
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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 partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=35A001976
- a(n) = n*(13*n - 1)/2.at n=40A022270
- Matrix 5th power of partition triangle A008284.at n=56A039807
- Closed 3-dimensional ball numbers (version 2): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (1/2,0,0).at n=27A053593
- Leading diagonal of A083173.at n=39A083174
- Positive integers that are the difference between two double factorials.at n=49A111300
- Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n.at n=22A114167
- Number of 6-element nondividing subsets of {1, 2, ..., n}.at n=24A187493
- Ordered differences of double factorials.at n=49A204912
- The hyper-Wiener index of the graph obtained by applying Mycielski's construction to the star graph K(1,n).at n=40A228319
- G.f. satisfies: A(x) = (4 + A(x)^3) / (5 - 4*x).at n=5A244627
- Terms k of A249667 such that k-A151799(k) = A151800(k)-k.at n=45A249676
- Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs.at n=16A260517
- Expansion of r(q)^5 / r(q^5) in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=22A285630
- Coordination sequence for "svh" 3D uniform tiling.at n=45A299283
- Number of non-isomorphic set multipartitions (multisets of sets) of weight n with empty intersection.at n=11A319748
- Numbers m that are not practical and have an abundancy index sigma(m)/m which is larger than that of any smaller number that is not practical.at n=11A335030
- Number of unlabeled disconnected P-series with n elements.at n=11A349488