Properties of the Number 74728

Seventy-Four Thousand Seven Hundred Twenty-Eight

Basics

Value: 74727 → 74728 → 74729

Parity: even

Prime: No

Previous Prime: 74719

Next Prime: 74729

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 9341

Divisors: 1, 2, 4, 8, 9341, 18682, 37364, 74728

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001111101000

Octal: 221750

Duodecimal: 372B4

Hexadecimal: 123e8

Square: 5584273984

Square Root: 273.3642258965134

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 (n+1)X(k+1) black-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231137

G.f. ∑_n>=0 xⁿ / (1 - x)^A053186(n), where A053186(n) is the difference between n and the largest square <= n. A392529

Number of (n+1) X (2+1) black-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231134

Irregular triangle read by rows: row n gives for the Julian Green game with n cards labeled 1, 2, ..., n, for n >= 2, the number of games if the first removed card has label K = 2·k, for k = 1, 2, ..., floor(n/2). A348843

a(n) = ∑_k=1..n k^n-k*binomial(n,k-1). A74728