10494
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25272
- Proper Divisor Sum (Aliquot Sum)
- 14778
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3120
- Möbius Function
- 0
- Radical
- 3498
- 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
- 86
- Smith Number
- yes
- 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 strict 5th-order maximal independent sets in cycle graph.at n=52A007393
- "DHK[ 8 ]" (bracelet, identity, unlabeled, 8 parts) transform of 1,1,1,1,...at n=12A032249
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=36A045850
- a(n) = floor(binomial(n+7,7)/binomial(n+3,3)).at n=49A084628
- a(n) = sum(i=1,n)(i-th i-almost prime). Cumulative sums of A101695.at n=9A101696
- Record values in A119999.at n=6A120000
- Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=26A187298
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209418; see the Formula section.at n=62A209417
- Numbers m such that there is a k with 2^m/(m+1) < binomial(m,k) <= 2^m/m and k < m/2.at n=44A229485
- Number of partitions p of n such that max(p) - min(p) is a part of p.at n=41A238493
- a(n) = floor(6^n/(3+sqrt(3))^n).at n=39A240735
- Numbers n such that the smallest prime divisor of n^2+1 is 101.at n=35A248553
- Numbers n such that the digital sum of n is the same as the digital sum of n^2 in both base 2 and base 10.at n=15A261640
- Expansion of 1/(1-x-x^2+x^6+x^8-x^15) - 1/(1-x).at n=23A261666
- Numbers m such that there are precisely 20 groups of order m.at n=36A298911
- Number of ordered ways of writing n-th triangular number as a sum of n squares of nonnegative integers.at n=8A299031
- a(n) = Product_{d|n, d<n} prime(1+A003415(d)), where A003415(d) gives arithmetic derivative of d.at n=51A319356
- Ordered perimeters p of primitive Pythagorean triangles no side of which is squarefree.at n=20A329392
- Triangle read by rows: binomial transform of triangle A330140.at n=52A330141
- E.g.f. satisfies A(x) = exp( 2 * (exp(x) - 1) * A(x)^(1/2) ).at n=5A375876