Properties of the Number 17053

Seventeen Thousand Fifty-Three

Basics

Value: 17052 → 17053 → 17054

Parity: odd

Prime: Yes

Previous Prime: 17047

Next Prime: 17077

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 17053

Divisors: 1, 17053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100001010011101

Octal: 41235

Duodecimal: 9A51

Hexadecimal: 429d

Square: 290804809

Square Root: 130.58713566044705

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes p for which the period of reciprocal 1/p is (p-1)/12. A56217

Primes p such that q-p = 24, where q is the next prime after p. A98974

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7. A252130

Expansion of e.g.f. ∏_k>=1 1/(1 - x^k)^H(k), where H(k) is the k-th harmonic number. A303970

Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5. A1975

Number of strictly increasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero. A188183

Primes congruent to 2 mod 59. A142729

Triangle read by rows: row n gives y transposed, where y is the solution to the matrix equation M·y=b, where the matrix M and vector b are defined by M(i,j) = ((2ⁱ⁺¹ + 1)^j-1 + 1)/2 and b(i) = ((2ⁱ⁺¹+1)ⁿ + 1)/2 for 1 <= i,j <= n. A292625

Lexicographically earliest sequence of distinct primes whose partial products lie between noncomposite numbers. A359940

Apocalypse primes: 10⁶⁶⁵+a(n) has 666 decimal digits and is prime. A115983