Properties of the Number 7827

Seven Thousand Eight Hundred Twenty-Seven

Basics

Value: 7826 → 7827 → 7828

Parity: odd

Prime: No

Previous Prime: 7823

Next Prime: 7829

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2609

Divisors: 1, 3, 2609, 7827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010010011

Octal: 17223

Duodecimal: 4643

Hexadecimal: 1e93

Square: 61261929

Square Root: 88.47033401089882

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)=Half the number of (n+1)X(n+1) symmetric 0..k arrays with no 2X2 subblock summing to 2k. A213697

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

Number of tilings of a 3 X n rectangle using dominoes and right trominoes. A165716

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. cos( sqrt(k) * (exp(x) - 1) ). A357728

a(n) = (1/2)*(n³ - 6·n² + 13·n - 6). A158498

Number of partitions p of n such that median(p) = multiplicity(min(p)). A240214

In the binary race of π, where the race leader changes. A278920

a(0) = 1; a(n) = ∑_{k=0..floor(n/3)} binomial(n,3·k) * a(k). A351970

Expansion of e.g.f. cos( sqrt(3) * (exp(x) - 1) ). A357726

Total number of 1's in the binary expansion of parts in all partitions of n into distinct parts. A347060