Properties of the Number 24001

Twenty-Four Thousand One

Basics

Value: 24000 → 24001 → 24002

Parity: odd

Prime: Yes

Previous Prime: 23993

Next Prime: 24007

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 24001

Divisors: 1, 24001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110111000001

Octal: 56701

Duodecimal: 11A81

Hexadecimal: 5dc1

Square: 576048001

Square Root: 154.92256130079957

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 p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

T(n,k) = half the number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock having exactly 2 ones. A183782

Crystal ball sequence for A₄ lattice. A8384

a(n) is the largest prime factor of 2ⁿ + 3ⁿ. A94474

a(n) = 1 + A_n(n), or a(n) = -1 if sequence A_n is not defined up to index n. A107357

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252993

a(n) = 1 + (the n-th term in sequence A_n, ignoring the offset), or a(n) = -1 if A_n has fewer than n terms. A102288

A239461(n) / n². A239464

Number of partitions p of n such that (number of even numbers in p) <= 2*(number of odd numbers in p). A241642