Properties of the Number 47857

Forty-Seven Thousand Eight Hundred Fifty-Seven

Basics

Value: 47856 → 47857 → 47858

Parity: odd

Prime: Yes

Previous Prime: 47843

Next Prime: 47869

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 47857

Divisors: 1, 47857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101011110001

Octal: 135361

Duodecimal: 23841

Hexadecimal: baf1

Square: 2290292449

Square Root: 218.76242821837573

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

Triangle read by rows, giving the arithmetic progressions of prime-indexed primes in A278735. A279021

Smallest prime-indexed prime ending an arithmetic progression of n prime-indexed primes. A278735

Expansion of ∑_i>=1 μ(i)²*xⁱ/(1 - xⁱ) / ∏_j>=1 (1 - x^j), where μ() is the Moebius function (A008683). A281573

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁴ *∏_i=1..t (1-xⁱ) ). A59821

Primes having only {4, 5, 7, 8} as digits. A386190

Initial terms of the arithmetic progressions in A278735. A279062

Square array A(n,k) = A388992(A388981(n, k)), read by descending antidiagonals. A388990

a(n) = ∑_k=0..n A047848(k, n-k). A47857

Lexicographically earliest infinite sequence of distinct positive integers such that, for n > 2, a(n) shares a factor with a(n-2) mod a(n-1) while a(n-1) mod a(n) has not previously occurred as the mod value for any consecutive pair of terms. A377182