10383
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
- 4
- Divisor Sum
- 13848
- Proper Divisor Sum (Aliquot Sum)
- 3465
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6920
- Möbius Function
- 1
- Radical
- 10383
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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 restricted 3 X 3 matrices with row and column sums n.at n=45A005045
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=22A013987
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8).at n=30A017821
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 33.at n=38A031531
- McKay-Thompson series of class 26a for Monster.at n=28A058598
- Number of repeated integer partitions of n.at n=9A141799
- Expansion of 1/(1 - x^3 - x^5 - x^7 + x^10), inverse of a Salem polynomial.at n=51A143472
- Number of (n+1) X 7 0..1 matrices with each 2 X 2 subblock idempotent.at n=11A224548
- Positions of squares in A276573.at n=36A277014
- a(n) = PrimePi(n^3) - PrimePi(n)^3, where PrimePi = A000720.at n=53A291538
- Numbers k such that (26*10^k - 413)/9 is prime.at n=16A293593
- Solution (a(n)) of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + b(n); see Comments.at n=28A305330
- Number of distinct sums i^3 + j^3 + k^3 for 0<=i<=j<=k<=n.at n=39A374710