Properties of the Number 7862

Seven Thousand Eight Hundred Sixty-Two

Basics

Value: 7861 → 7862 → 7863

Parity: even

Prime: No

Previous Prime: 7853

Next Prime: 7867

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 3931

Divisors: 1, 2, 3931, 7862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010110110

Octal: 17266

Duodecimal: 4672

Hexadecimal: 1eb6

Square: 61811044

Square Root: 88.66791979064357

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

T(n,k)=Number of 0..3 arrays of length n+2·k-1 with sum no more than 3·k in any length 2k subsequence (=50% duty cycle). A212471

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A219714

T(n,k)=Number of length n+5 0..k arrays with no consecutive six elements summing to more than 3·k. A242144

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

Sum of the sizes of the Durfee squares of all no-leg partitions of n (or of all no-arm partitions of n). A268188

a(n) = 9·n² - 8·n + 2. A154254

Bisection of A088567. A88575

Partial sums of A048995. A174514

a(n) = ∑_k=1..n (n-k) * floor(n/k). A24920

Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have a decrease at index k (1<=k<n). A56862