10423
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11920
- Proper Divisor Sum (Aliquot Sum)
- 1497
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8928
- Möbius Function
- 1
- Radical
- 10423
- 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
- 135
- 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 partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 3).at n=45A035538
- Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=35A039885
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=35A075931
- a(n) = 5*3^n - 4*2^n.at n=7A102485
- a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution 4th power of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=13A109415
- Numbers which yield a prime whenever a 3 is prefixed, appended or inserted.at n=45A158594
- a(n) is the smallest n-digit term of A158594 and zero if there is no such number.at n=4A164327
- a(n) is the number of positive integers k such that k is equal to the number of 1's in the digits of the base-n expansion of all positive integers <= k.at n=31A165617
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2.at n=46A180825
- Coefficients of a mock theta function.at n=50A192432
- Numbers whose digits are a permutation of (0,...,m) for some m.at n=28A199168
- Number of nX3 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=3A201096
- Number of nX4 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=2A201097
- T(n,k)=Number of nXk 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=17A201101
- T(n,k)=Number of nXk 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=18A201101
- A musically inspired Titius-Bode-like sequence based on the geometric division of 4- and 5-dimensional space: Z_(n+1) = 3 * (C(n-1, 0) + C(n-1, 1) + C(n-1, 2) + C(n-1, 3) + C(n-1, 4) + C(n-1, 5)*A059620(n+6)) + 4.at n=15A209257
- Composite numbers and 1 which yield a prime whenever a 3 is inserted anywhere in them (including at the beginning or end).at n=21A216166
- a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n^3 + n^2 + n + 1.at n=21A227015
- Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1.at n=61A233530
- Semiprimes which have one or more occurrences of exactly five different digits.at n=20A235693