Properties of the Number 7851

Seven Thousand Eight Hundred Fifty-One

Basics

Value: 7850 → 7851 → 7852

Parity: odd

Prime: No

Previous Prime: 7841

Next Prime: 7853

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2617

Divisors: 1, 3, 2617, 7851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111010101011

Octal: 17253

Duodecimal: 4663

Hexadecimal: 1eab

Square: 61638201

Square Root: 88.60586888011426

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) = (n³)/2 + (3·n²)/2 + 3·n + 3. A127873

Number of odd-length integer partitions of n with integer alternating product. A347444

a(n) = ∑_d∣n d·binomial(n/d+d-2,d-1). A157020

a(n) = floor(4ⁿ/(2+2·cos(2*π/7))ⁿ). A240671

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231710

Number of partitions p of n such that median(p) = multiplicity(max(p)). A240209

G.f. A(x) satisfies A(x/A(x)²) = 1/(1-x)³. A145169

Expansion of ((η(q²) * η(q¹⁴)) / (η(q) * η(q⁷)))³ in powers of q. A120006

Expansion of η(q⁴) * η(q²⁸) / (η(q) * η(q⁷)) in powers of q. A123648

Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879. A63052