Properties of the Number 24419

Twenty-Four Thousand Four Hundred Nineteen

Basics

Value: 24418 → 24419 → 24420

Parity: odd

Prime: Yes

Previous Prime: 24413

Next Prime: 24421

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 24419

Divisors: 1, 24419

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111101100011

Octal: 57543

Duodecimal: 1216B

Hexadecimal: 5f63

Square: 596287561

Square Root: 156.26579920123277

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

a(n) = ∑_k=0..n-2 T(n,k) * T(n,k+2), with T given by A026615. A26958

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153

Smallest k>n such that n³+1 divides k·n²+1. A71568

Primes of the form ((p-1)/2)³+((p+1)/2), p are prime numbers. A163421

a(n) = ∑_d∣n σ(n/d)*d³. A27847

Primes of the form 2·n² + 2·n - 1. A98828

a(n) = ∑_d∣n d³*A000593(n/d). A288419

Primes of the form n³ + n + 1. A95692

Lesser of twin primes for which the gap before the following twin primes is a record. A113275

Number of integer solutions to (x₁)² + (x₂)² + ... + (x₇)² <= n. A341396