Properties of the Number 2381

Two Thousand Three Hundred Eighty-One

Basics

Value: 2380 → 2381 → 2382

Parity: odd

Prime: Yes

Previous Prime: 2377

Next Prime: 2383

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2381

Divisors: 1, 2381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101001101

Octal: 4515

Duodecimal: 1465

Hexadecimal: 94d

Square: 5669161

Square Root: 48.79549159502341

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

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Numbers k such that 3^k - 2^k is prime. A57468

Numbers n such that (19ⁿ - 2ⁿ)/17 is prime. A229542

Number of integer partitions of n whose product of parts is >= n. A319005

Primes of the form j² + (j+1)². A27862

Primes with indices that are primes with prime indices. A38580

Fourth spoke of a hexagonal spiral. A56108

Number of integer partitions of n without any three parts (a,b,c) (repeats allowed) satisfying a + b = c. A variation of sum-free partitions. A364345

Numbers that are the sum of 8 positive 6th powers. A3364

Primes whose base-9 representation is also the base-6 representation of a prime. A235639