Properties of the Number 48001

Forty-Eight Thousand One

Basics

Value: 48000 → 48001 → 48002

Parity: odd

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 23 × 2087

Divisors: 1, 23, 2087, 48001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101110000001

Octal: 135601

Duodecimal: 23941

Hexadecimal: bb81

Square: 2304096001

Square Root: 219.09130516750318

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

7th-order Fibonacci numbers with a(0)=...=a(6)=1. A60455

a(n) = 30·n² + 1. A158558

Numerators of continued fraction convergents to sqrt(237). A41442

Numerators of continued fraction convergents to sqrt(948). A42834

Row sums of A138060. A138289

The number of permutations p of {1,...,n} such that p(1)=1, p(n)=n, and |p(i)-p(i+1)| is in {1,2,3} for all i from 1 to n-1. A249665

a(n) = 6n³ + 1, solution z in Diophantine equation x³ + y³ = z³ - 2. It may be considered a Fermat near miss by 2. A163827

arcsinh(arctan(x)+sin(x))=2·x-11/3!*x³+433/5!*x⁵-48001/7!*x⁷... A12979

Numbers whose base-6 representation has exactly 7 runs. A43615

Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/3. A48001