17680
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 46872
- Proper Divisor Sum (Aliquot Sum)
- 29192
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- 0
- Radical
- 2210
- Omega Function (Ω)
- 7
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- 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
- Number of points on surface of 4-dimensional cube.at n=13A008511
- Numbers whose base-4 representation contains exactly four 0's and four 1's.at n=18A045037
- Numbers n such that 117*2^n-1 is prime.at n=37A050584
- Truncated triangular pyramid numbers: a(n) = Sum_{k=9..n} (k*(k+1)/2 - 45).at n=39A051943
- a(n) = 2*(n-1)*(n^2 + 1).at n=20A071233
- Product of prime(n+1)-1 and prime(n)-1.at n=31A083553
- a(n) = number of partitions of n wherein the sum of the 1's is no more than the sum of the other parts.at n=35A083690
- a(n) = A000695(A014486(n)).at n=12A083931
- LCM of terms in Collatz (3x+1) function initiated at n.at n=16A087226
- Difference between n-th prime squared and n-th perfect square.at n=32A106588
- a(n) = A130179(n)/81.at n=20A130085
- a(n) = A061039(8*n+5).at n=16A144453
- Numbers n such that 17, n, n+1 are the sides of a Heron triangle, i.e., a triangle with integer sides and integer area.at n=14A145820
- Terms of A061039 that are multiple of 10, in the order in which they appear.at n=26A146762
- a(n) = n*(n^2+4).at n=26A155965
- a(n) = A160799(n)/4.at n=40A160807
- Number of n X 5 binary arrays without the pattern 0 1 diagonally or antidiagonally.at n=16A188820
- Numbers of the form 4^j + 6^k, for j and k >= 0.at n=46A226813
- Least positive integer x such that x and n*x are both differences of fourth powers.at n=10A228760
- Number of partitions of 2*n into parts with multiplicity <= n.at n=18A232623