Properties of the Number 7371

Seven Thousand Three Hundred Seventy-One

Basics

Value: 7370 → 7371 → 7372

Parity: odd

Prime: No

Previous Prime: 7369

Next Prime: 7393

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 13

Divisors: 1, 3, 7, 9, 13, 21, 27, 39, 63, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011001011

Octal: 16313

Duodecimal: 4323

Hexadecimal: 1ccb

Square: 54331641

Square Root: 85.85452812752511

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

a(n) = (3ⁿ/n!)*∏_k=0..n-1 (3·k + 1). 3-central binomial coefficients. A4987

5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!. A5585

Number of ways of writing n as the sum of 7 triangular numbers. A226252

Numbers k for which nontrivial positive magic squares of exactly 8 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125015

a(n) = 3·a(n-1) + 3·a(n-2), a(0)=0, a(1)=3. A106435

a(n) = (3ⁿ/n!) * ∏_k=0..n-1 (3·k - 2). A4989

a(n) = n⁴ + n³ + n². A100019

Dimensions of the irreducible representations of the simple Lie algebra of type E7 over the complex numbers, listed in increasing order. A121736

Expansion of η(q)⁹ / η(q³)³ in powers of q. A109041

Dimensions of the irreducible representations of the simple Lie algebra of type E6 over the complex numbers, listed in increasing order. A121737