Properties of the Number 47677

Forty-Seven Thousand Six Hundred Seventy-Seven

Basics

Value: 47676 → 47677 → 47678

Parity: odd

Prime: No

Previous Prime: 47659

Next Prime: 47681

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 ³ × 139

Divisors: 1, 7, 49, 139, 343, 973, 6811, 47677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000111101

Octal: 135075

Duodecimal: 23711

Hexadecimal: ba3d

Square: 2273096329

Square Root: 218.3506354467511

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

Scaled Chebyshev U-polynomials evaluated at sqrt(7)/2. A30240

Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists. A73908

Body-centered cubic pyritohedral numbers: a(n) = 1728·n³ - 5076·n² + 4984·n - 1635. A391166

Triangle, T(n, k) = (sqrt(k+1))^n-1*ChebyshevU(n-1, sqrt(k+1)/2), read by rows. A167925

Numbers that cannot be expressed as a sum of 2 triangular numbers and a power of 2. A112665

Number of penholodigital squares (containing each nonzero digit exactly once) in base n. A370950

Odd composite numbers k such that ∑_i=1..k-1 2ⁱ * i^k-2 == ∑_i=1..(k-1)/2 i^k-2 (mod k). A373734

Row 2 of square array defined in A047675: 2·n!*(n+1)!. A47677

G.f.: A(x) = exp( ∑_n>=1 (xⁿ/n) * (1 + xⁿ*A(x)ⁿ) / (1 - xⁿ*A(x)ⁿ)). A325213