Properties of the Number 7722

Seven Thousand Seven Hundred Twenty-Two

Basics

Value: 7721 → 7722 → 7723

Parity: even

Prime: No

Previous Prime: 7717

Next Prime: 7723

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 11 × 13

Divisors: 1, 2, 3, 6, 9, 11, 13, 18, 22, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000101010

Octal: 17052

Duodecimal: 4576

Hexadecimal: 1e2a

Square: 59629284

Square Root: 87.87491109526086

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

Numbers n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Smallest n such that 3ⁿ contains n consecutive 0's in its decimal representation. A195269

a(n) = binomial(n+10, 10)*3ⁿ. A172362

Dimensions of the irreducible representations of the simple Lie algebra of type E6 over the complex numbers, listed in increasing order. A121737

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 0 vertically. A208078

T(n,k) is the number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i·k. A214011

Indices of nontrivial zeros of Riemann ζ function whose imaginary part sets a record for the absolute minimal difference from an integer. A255739

Dimensions of the irreducible representations of the simple Lie algebra of type G2 over the complex numbers, listed in increasing order. A104599

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 000 in rows and columns. A202601

G.f. satisfies: A(x) = 1/(1 - x/A(-x·A(x)⁸)²). A213230