10638
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
- 16
- Divisor Sum
- 23760
- Proper Divisor Sum (Aliquot Sum)
- 13122
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3528
- Möbius Function
- 0
- Radical
- 1182
- Omega Function (Ω)
- 5
- 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
- 55
- 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
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=36A042945
- Matrix inverse of triangle A055363(n+2,k).at n=57A055370
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=9A063048
- a(n) = A077696(n+1)/A077696(n).at n=9A077697
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=10A088753
- Indices of primes in sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 3 for n > 0.at n=21A101731
- Number of partitions of n into 5-smooth parts.at n=36A112581
- Arises in enumerating non-degenerate colorings in Brook's Theorem.at n=8A152390
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=32A162705
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=38A178639
- G.f. A(x) satisfies A(x) = 1 + Sum_{n>=1} A(x)^n * 2*x^n/(1 - 2*x^(2*n)).at n=7A192403
- a(n) = n XOR n^3.at n=22A261807
- G.f.: Sum_{k>0} x^prime(k)/(1-x)^k.at n=24A278800
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=9A306232
- (1/9) times the sum of the elements of all subsets of [n] whose sum is divisible by nine.at n=14A309301
- Number of essentially series unoriented series-parallel networks with n elements.at n=9A339223
- The number of regions inside a Reuleaux triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=7A340639
- Smallest number whose number of partitions into n distinct primes is n, or zero if there are no such partitions.at n=68A344989