Properties of the Number 16573

Sixteen Thousand Five Hundred Seventy-Three

Basics

Value: 16572 → 16573 → 16574

Parity: odd

Prime: Yes

Previous Prime: 16567

Next Prime: 16603

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 16573

Divisors: 1, 16573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000010111101

Octal: 40275

Duodecimal: 9711

Hexadecimal: 40bd

Square: 274664329

Square Root: 128.73616430514

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 of the form 2·n² + 11. A50265

a(0)=1, a(1)=1, a(n) = largest prime <= a(n-1) + a(n-2). A55500

Consider problem of placing N queens on an n X n board so that each queen attacks precisely k others. Here k=4 and sequence gives number of different solutions when N takes its maximal value. A19654

Consider problem of placing N queens on an n X n board so that each queen attacks precisely k others. Here k=4 and sequence gives number of inequivalent solutions when N = 3·n-3. A51571

Primes p such that q-p = 30, where q is the next prime after p. A124596

a(0)=1, a(1)=2, a(n) = largest prime < a(n-1)+a(n-2). A55501

Primes that remain prime through 3 iterations of function f(x) = 9x + 2. A23296

Primes p such that p plus or minus the sum of its digits squared yields a prime in both cases. A179550

The number of trees with 5 nodes labeled by positive integers, where each tree's label sum is n. A301740

Numbers k such that φ(k) > φ(k+1) > φ(k+2) > φ(k+3) where φ is the Euler totient function (A000010). A326817