Properties of the Number 10973

Ten Thousand Nine Hundred Seventy-Three

Basics

Value: 10972 → 10973 → 10974

Parity: odd

Prime: Yes

Previous Prime: 10957

Next Prime: 10979

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 10973

Divisors: 1, 10973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011011101

Octal: 25335

Duodecimal: 6425

Hexadecimal: 2add

Square: 120406729

Square Root: 104.75208828467335

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

Smaller of two consecutive primes whose sum is a cube. A61308

Lesser of consecutive primes whose sum is a perfect power (A001597). A91624

Noncomposite numbers in the southern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American. A168027

Expansion of 3·q^1/3 * φ(q) * ψ(q⁶) / c(q) in powers of·where φ(), ψ() are Ramanujan θ functions and c() is a cubic AGM θ function. A233037

Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6. A119597

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340. A146362

Primes that remain prime through 3 iterations of function f(x) = 5x + 4. A23284

Primes congruent to 21 mod 37. A142130

Primes congruent to 58 mod 59. A142785

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17. A146340