10838
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16260
- Proper Divisor Sum (Aliquot Sum)
- 5422
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5418
- Möbius Function
- 1
- Radical
- 10838
- 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
- 42
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = a(n-2) + a(n-5).at n=50A001687
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=19A015991
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=31A045104
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=18A065215
- Self-convolution omits 1's at positions of triangular numbers less one.at n=26A105613
- Self-convolution of A105613.at n=20A105614
- Number of solutions to +- 1 +- 2^2 +- 3^2 +- 4^2 +- ... +- n^2 = 0.at n=23A158092
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=2w+x+y<=1.at n=43A211620
- Number of hypohamiltonian snarks of order 2n.at n=17A218880
- Least number x such that x^n has n digits equal to k. Case k = 6.at n=14A285453
- Numbers k such that A019320(k) is in A217468.at n=27A297412
- Numbers k such that 2^m == 2 (mod m*(m-1)), where m=A019320(k).at n=38A297413
- Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=7A304541
- Base-10 numbers k whose number of divisors equals the number of divisors in R(k), where k is written in all bases from base-2 to base-10 and R(k), the digit reversal of k, is read as a number in the same base.at n=3A346113
- Number of solutions to +-1^2 +- 2^2 +- 3^2 +- ... +- n^2 = 0 or 1.at n=24A350403
- Number of integer partitions of n where the parts have lesser mean than the distinct parts.at n=34A360251
- Number of compositions of 5*n-1 into parts 2 and 5.at n=9A369842
- Expansion of (1 + x)^2/(1 - x^2*(1 + x)^3).at n=15A375317
- Expansion of 1 / ((1-x)^2 - x^5).at n=22A392540