Properties of the Number 7671

Seven Thousand Six Hundred Seventy-One

Basics

Value: 7670 → 7671 → 7672

Parity: odd

Prime: No

Previous Prime: 7669

Next Prime: 7673

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2557

Divisors: 1, 3, 2557, 7671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111110111

Octal: 16767

Duodecimal: 4533

Hexadecimal: 1df7

Square: 58844241

Square Root: 87.58424515859002

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 triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1. A100448

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250783

Number of partitions of n, with two kinds of 1, 2, 3 and 4. A710

T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184071

a(n) = T(n,n) + T(n,n+1) + ... + T(n,2n), T given by A027960. A27973

a(n) is the number of quintuples (a₁,a₂,a₃,a₄,a₅) having all terms in {1,...,n} such that there exists a pentagon with these side-lengths. A346637

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)³)⁵. A137963

Integers of the form 8k+7 that can be written as a sum of four distinct 'almost consecutive' squares. A243577

Integers of the form 8k+7 that can be written as a sum of four distinct squares of the form m, m+2, m+4, m+5, where m == 1 (mod 4). A243579

Sums of 11 distinct powers of 2. A38462