17776
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 37944
- Proper Divisor Sum (Aliquot Sum)
- 20168
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8000
- Möbius Function
- 0
- Radical
- 2222
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Trajectory of 1 under map x->x + (x-with-digits-reversed).at n=12A001127
- Convolution of odd numbers and A001950.at n=26A023659
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 21 (most significant digit on right).at n=18A029514
- Trajectory of 25 under map x->x + (x-with-digits-reversed).at n=8A033658
- Trajectory of 59 under map x->x + (x-with-digits-reversed).at n=7A033671
- 4-white numbers: partition digits of n^4 into blocks of 4 starting at right; sum of these 4-digit numbers equals n.at n=8A037044
- Numbers m such that phi(m) = tau(m)^3.at n=13A068559
- Numbers n for which there are exactly nine k such that n = k + reverse(k).at n=32A072433
- Triangular Kaprekar-like numbers: numbers k such that the base-10 representation of T(k) = k*(k+1)/2 is the concatenation of two numbers x and y such that x + y = k.at n=36A110939
- Number of compositions of n such that no two adjacent parts are equal, allowing 0.at n=10A114900
- Twice repdigit numbers.at n=35A152966
- Numbers which can be expressed as the product of numbers made of only twos.at n=44A161140
- Numbers which can be expressed as the product of numbers made of only fours.at n=19A161142
- E.g.f.: Sum_{n>=0} Product_{k=1..n} tan(k*x).at n=5A177382
- Smallest m such that n = sum of digits of A108971(m).at n=35A179988
- Expansion of 1/(1 - x - x^2 + x^5 - x^7).at n=23A204631
- Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X 3 array.at n=4A218997
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array.at n=25A219002
- Unmatched value maps: number of 5Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 5Xn array.at n=2A219006
- Number of nX1 0..1 arrays with exactly floor(nX1/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order.at n=19A222283