Properties of the Number 33124

Thirty-Three Thousand One Hundred Twenty-Four

Basics

Value: 33123 → 33124 → 33125

Parity: even

Prime: No

Previous Prime: 33119

Next Prime: 33149

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 ² × 13 ²

Divisors: 1, 2, 4, 7, 13, 14, 26, 28, 49, 52

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000101100100

Octal: 100544

Duodecimal: 17204

Hexadecimal: 8164

Square: 1097199376

Square Root: 182

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

Number of ways to place a non-attacking white and black rook on n X n chessboard. A35287

Quarter-squares squared: A002620². A30179

Numbers that are the squares of the product of three distinct primes. A162143

a(n) = (11·n + 6)². A17462

a(n) = (6·n + 2)². A16934

Squares with initial digit '3'. A45786

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,4). The p-th row (p>=1) contains a(i,p) for i=1 to 4·p-3, where a(i,p) satisfies ∑_i=1..n C(i+3,4)^p = 5·C(n+4,5) * ∑_i=1..4·p-3 a(i,p) * C(n-1,i-1)/(i+4). A87108

Squares whose largest decimal digit is 4. A277948

Squares which are the sum of two or more consecutive squares. A151557

Sum of smallest parts of all partitions of n into an even number of parts. A222045