Properties of the Number 7824

Seven Thousand Eight Hundred Twenty-Four

Basics

Value: 7823 → 7824 → 7825

Parity: even

Prime: No

Previous Prime: 7823

Next Prime: 7829

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 163

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010010000

Octal: 17220

Duodecimal: 4640

Hexadecimal: 1e90

Square: 61214976

Square Root: 88.45337754998393

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 hexagonal regions in regular n-gon with all diagonals drawn. A67153

Triangle T, read by rows, where row n+1 of T = row n of matrix power T²ⁿ with appended '1' for n>=0 with T(0,0)=1. A132610

Total sum of prime parts in all partitions of n. A73118

a(n) = ∑_k=1..n prime(k)^prime(n-k+1). A87316

Expansion of q^-1/3 * (η(q⁶)⁴ / (η(q) * η(q³) * η(q⁴) * η(q¹²)))² in powers of q. A132977

4 times 9-gonal numbers: a(n) = 2·n*(7·n-5). A152760

G.f.: ∑_n>=1 G_n(x)ⁿ where G_n(x) = x + x·G_n(x)ⁿ. A194560

Sum of the fifth largest parts of the partitions of n into 8 squarefree parts. A326448

Expansion of (χ(-q³)/ χ³(-q) -1)/3 in powers of q where χ() is a Ramanujan θ function. A128129

Expansion of q * ψ(-q⁹) / ψ(-q) in powers of q where ψ() is a Ramanujan θ function. A132975