Properties of the Number 4905

Four Thousand Nine Hundred Five

Basics

Value: 4904 → 4905 → 4906

Parity: odd

Prime: No

Previous Prime: 4903

Next Prime: 4909

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 109

Divisors: 1, 3, 5, 9, 15, 45, 109, 327, 545, 981

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001100101001

Octal: 11451

Duodecimal: 2A09

Hexadecimal: 1329

Square: 24059025

Square Root: 70.03570517957252

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Let A(0) = 1, B(0) = 0; A(n+1) = ∑_k=0..n binomial(n,k)*B(k), B(n+1) = ∑_k=0..n -binomial(n,k)*A(k); entry gives A sequence (cf. A121868). A121867

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x + 23)² = y². A118337

Number of cyclic compositions (necklaces of positive integers) summing to n that have only one part or whose consecutive parts (including the last with first) are indivisible. A318729

Number of integer partitions of n that can be partitioned into a set of sets in exactly one way. A382079

Number of 3-covers of an unlabeled n-set. A5783

Numbers that are the sum of five third powers in six or more ways. A345174

Sum of all numbers with n digits. A101291

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A317004

Numbers that are the sum of five third powers in exactly six ways. A345175