Properties of the Number 1523

One Thousand Five Hundred Twenty-Three

Basics

Value: 1522 → 1523 → 1524

Parity: odd

Prime: Yes

Previous Prime: 1511

Next Prime: 1531

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 1523

Divisors: 1, 1523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110011

Octal: 2763

Duodecimal: A6B

Hexadecimal: 5f3

Square: 2319529

Square Root: 39.02563260217571

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Safe primes p: (p-1)/2 is also prime. A5385

Primes of the form k² + k + 41. A5846

a(n) = n² + 2. A59100

The Matula-Goebel numbers of the generalized Bethe trees. A generalized Bethe tree is a rooted tree in which vertices at the same level have the same degree. A214577

Mian-Chowla sequence (a B₂ sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct. A5282

Primes of the form k² + 2. A56899

Primes that become another prime under the map 1 <-> 0 (acting on the digits: A222210), cf. A171013. A175791

Expansion of g.f.: ∏_n>0 1/(1 - 2^n-1*xⁿ). A75900

Primes with indices that are primes with prime indices. A38580

Smallest prime > n². A7491