Properties of the Number 10733

Ten Thousand Seven Hundred Thirty-Three

Basics

Value: 10732 → 10733 → 10734

Parity: odd

Prime: Yes

Previous Prime: 10729

Next Prime: 10739

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 10733

Divisors: 1, 10733

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111101101

Octal: 24755

Duodecimal: 6265

Hexadecimal: 29ed

Square: 115197289

Square Root: 103.60019305001319

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 such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Sum of the eighth largest parts in the partitions of n into 9 parts. A326466

a(n) = 25·n² - 14·n + 2. A154357

Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number). A55472

Primes p such that (2·p)³ + 1 is a semiprime. A237038

Primes of the form 6·p - 1 such that p and 6·p - 5 are primes. A90609

Primes with 2 representations: p·q*r - 1 = u·v*w + 1 where p, q, r, u, v and w are primes. A63644

Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n). A79153

Prime numbers p such that p - 1 is the fourth a-figurate number, eighth b-figurate number and possibly sixteenth c-figurate number for some a, b and c and not a d-figurate number for any nontrivial d. A144315

Smallest number requiring n 1's to build using +, * and -. A255641