17081
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 2119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15120
- Möbius Function
- -1
- Radical
- 17081
- Omega Function (Ω)
- 3
- 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
- 172
- 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
- no
- Odd
- yes
Appears in sequences
- From George Gilbert's marks problem: jumping 5 marks at a time (initial positions).at n=12A019993
- Pseudoprimes to base 39.at n=34A020167
- Pseudoprimes to base 77.at n=43A020205
- a(n) = n*(n+2)*(2*n-1)/3. Also, row sums of triangle A131422.at n=28A131423
- Duplicate of A131423.at n=28A143371
- Hankel transform of A158500.at n=28A158501
- a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 1, a(1) = 13.at n=4A163148
- Triangle read by rows: number of set partitions of n elements with k connectors, 0<=k<n.at n=50A185982
- Records in A096335 (values).at n=30A221181
- a(n) = Sum_{i=0..n} digsum_9(i)^3, where digsum_9(i) = A053830(i).at n=46A231686
- Maximal non-semiprime number which is a "preprime" of the n-th kind (defined in comment in A247395).at n=23A247834
- Number of irreducible polynomials in the n-th generation of polynomials generated as in Comments.at n=12A264293
- Magic sums of 3 X 3 semimagic squares composed of positive squares.at n=35A269061
- Dimensions of the 4-polytridendriform operad TDendr_4.at n=4A269732
- Number of set partitions of [n] having exactly five pairs (m,m+1) such that m is in some block b and m+1 is in block b+1.at n=5A271792
- Number of set partitions of [2n] having exactly n pairs (m,m+1) such that m is in some block b and m+1 is in block b+1.at n=5A271841
- Maximum starting value of X such that repeated replacement of X with X-ceiling(X/6) requires n steps to reach 0.at n=47A279076
- Numbers k such that A317993(k) sets a new record; numbers k such that (Z/mZ)* = (Z/kZ)* has more solutions for m than all k' < k, where (Z/mZ)* is the multiplicative group of integers modulo m.at n=11A328420
- 11-gonal numbers which are products of three distinct primes.at n=15A354446
- Sphenic numbers k such that floor(log(k)/log(lpf(k))) = 1+floor(log(k)/log(p)) for all primes p | k such that p > lpf(k), where lpf = A020639(k).at n=37A383177