Properties of the Number 46853

Forty-Six Thousand Eight Hundred Fifty-Three

Basics

Value: 46852 → 46853 → 46854

Parity: odd

Prime: Yes

Previous Prime: 46831

Next Prime: 46861

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 46853

Divisors: 1, 46853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011100000101

Octal: 133405

Duodecimal: 23145

Hexadecimal: b705

Square: 2195203609

Square Root: 216.45553815968765

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) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203452

Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes. A237440

Square root of A030693. A30694

Number of (n+1)X5 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203448

Number of (n+1)X6 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203449

a(n) is the least k such that A330241(k) = n. A329773

Smallest number k such that k² begins with n³. A197722

Primes of the form prime(n+2)*prime(n+1) - prime(n) +- 1. A294625

Denominator of sum of reciprocals of first n palindromic primes. A46853

Primes p such that p, q and p + q but not q - p have distinct digits, where q is the next prime after p. A371354