11438
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21120
- Proper Divisor Sum (Aliquot Sum)
- 9682
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 1
- Radical
- 11438
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 81
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = n*(n+4)*(n+5)/6.at n=38A005586
- Numbers k such that sigma(k) = sigma(k+7).at n=17A015867
- Numbers ending with '8' that are the difference of two positive cubes.at n=37A038863
- Numerators of continued fraction convergents to sqrt(513).at n=7A041980
- Multiples of 14 containing a 14 in their decimal representation.at n=35A121034
- a(n) = (n-2)*(n+3)*(n+2)/6.at n=40A129936
- a(n) = n*(8*n - 3).at n=38A139273
- Numbers X such that (X^2-19)/57 is a square.at n=1A145120
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=36A154495
- Multiples of 19 whose digit reversal - 1 is also a multiple of 19.at n=27A166399
- Number of n X 7 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=8A166812
- Number of 0..n arrays x(0..7) of 8 elements with zero 6th differences.at n=10A200086
- Numbers n such that n!10+1 is prime.at n=40A204656
- Permutation of natural numbers: a(n) = A048673(A244319(n)).at n=52A245610
- a(n) = prime(n)^3 - n^3.at n=8A262186
- Consider the Euler totient function of a number x. Take the sum of its digits. Repeat the process deleting the first addendum and adding the previous sum. The sequence lists the numbers that after some iterations reach x.at n=10A269309
- Number of tilings of a 2 X n rectangle using pentominoes of any shape and monominoes.at n=10A278874
- Expansion of exp( Sum_{n>=1} -sigma(8*n)*x^n/n ) in powers of x.at n=25A283168
- Number of Dyck paths of semilength n such that each level has exactly nine peaks or no peaks.at n=20A288116
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero.at n=6A305476