10824
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 19416
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3200
- Möbius Function
- 0
- Radical
- 2706
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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 into non-integral powers.at n=40A000148
- Number of n-bead bracelets (turnover necklaces) with 8 red beads and n-8 black beads.at n=15A005514
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 26.at n=7A031704
- Unitary superperfect numbers: numbers n such that usigma(usigma(n)) = 2*n, where usigma(n) is the sum of unitary divisors of n (A034448).at n=7A038843
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=24A066961
- Triangle of T1(n,m) = number of bracelets (necklaces that can be turned over) with m white beads and (2n+1-m) black ones, for 1<=m<=n.at n=62A078925
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=27A111078
- Number of partitions of n into an equal number of prime and composite parts.at n=60A116449
- Numbers such that sigma(n)^2 is divisible by UnitarySigma(n)*UnitaryPhi(n).at n=36A121556
- a(n) = 676*n^2 + 2*n.at n=3A158385
- a(n) = 64*n^2 + 8.at n=12A158488
- a(n) = 169*n^2 + n.at n=7A173275
- Number of reduced 3 X 3 magilatin squares with magic sum n.at n=20A174020
- Convolved with its aerated variant of two zeros between terms = A000041.at n=42A174068
- Number of different hook length multisets of partitions of n.at n=37A180652
- Number of nondecreasing strings of numbers x(i=1..6) in -n..n with sum x(i)^3 equal to 0.at n=32A188280
- Number of 13X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 13 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=10A192714
- The generalized Conway-Guy sequence d_2(n).at n=9A225178
- Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.at n=36A225929
- Numbers k such that k^2 +/- (k-1) and (k-1)*k^2 +/- 1 are all primes.at n=20A239326