10413
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 5967
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 3471
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- no
- Odd
- yes
Appears in sequences
- a(n) = 10000*log_10(n) rounded down.at n=10A004228
- First nontrivial or multidigital Armstrong number to base n.at n=37A016087
- 16-gonal (or hexadecagonal) numbers: a(n) = n*(7*n-6).at n=39A051868
- At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage.at n=24A056640
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^2 where w, x, y, and z are all positive integers.at n=20A057369
- For the numbers k that can be expressed as k = w + x = y*z with w*x = y^2 + z^2 where w, x, y, and z are all positive integers, this sequence gives the corresponding values of w*x.at n=5A057444
- Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order.at n=31A058950
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 11.at n=9A090890
- Structured truncated dodecahedral numbers.at n=8A100153
- 3-Smith numbers.at n=31A104391
- Nonprime integers n such that n divides A120492(n).at n=30A120329
- Multiples of 13 containing a 13 in their decimal representation.at n=25A121033
- Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=25A124141
- a(n) = smallest k having at least three prime divisors d such that (d + n) | (k + n).at n=26A202158
- Number of (n+1) X (n+1) -3..3 symmetric matrices with every 2 X 2 subblock having sum zero and one, two or three distinct values.at n=7A211326
- Number of simple perfect matching graphs on 2n nodes.at n=3A218462
- Number of 0..3 arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0.at n=8A221678
- T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0.at n=63A221683
- G.f.: 1/(1 - x*(1-x^5)/(1 - x^2*(1-x^6)/(1 - x^3*(1-x^7)/(1 - x^4*(1-x^8)/(1 - x^5*(1-x^9)/(1 - ...)))))), a continued fraction.at n=20A227374
- Number of partitions of n with difference 1 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=40A242692