Properties of the Number 847

Eight Hundred Forty-Seven

Basics

Value: 846 → 847 → 848

Parity: odd

Prime: No

Previous Prime: 839

Next Prime: 853

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 ²

Divisors: 1, 7, 11, 77, 121, 847

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001111

Octal: 1517

Duodecimal: 5A7

Hexadecimal: 34f

Square: 717409

Square Root: 29.103264421710495

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

Number of partitions of n that do not contain 1 as a part. A2865

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443

Number of sum-free subsets of {1, ..., n}. A7865

Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1. A187219

Sum of divisors of square numbers. A65764

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Numbers obtained by reinterpreting base-2 representation of n in the factorial base: a(n) = ∑_k>=0 A030308(n,k)*A000142(k+1). A59590

Number of 3 X 3 X 3 arrays M_ijk (1 <= i,j,k <= 3) with entries satisfying 0 <= M_ijk <= n and all line sums equal to n. A2721

a(n) = A276086(A276086(n)), where A276086 is the primorial base exp-function. A276087

Triangle read by rows: T(n,k) = number of inequivalent linear [n,k] binary codes without 0 columns (n >= 1, 1 <= k <= n). A34253