Properties of the Number 46971

Forty-Six Thousand Nine Hundred Seventy-One

Basics

Value: 46970 → 46971 → 46972

Parity: odd

Prime: No

Previous Prime: 46957

Next Prime: 46993

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 307

Divisors: 1, 3, 9, 17, 51, 153, 307, 921, 2763, 5219

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011101111011

Octal: 133573

Duodecimal: 23223

Hexadecimal: b77b

Square: 2206274841

Square Root: 216.72794005388414

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

The first of three consecutive triangular numbers the sum of which is equal to the sum of three consecutive primes. A298168

Numbers which are the sum of two positive cubes and divisible by 17. A99178

a(n) = n*(n+1)*(n²+n+1)/2. A110450

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

Triangular numbers that can be written as sum of two positive cubes. A113958

Number of points in Nⁿ of norm <= 2. A55417

Triangular numbers whose digit permutations yield at least two further triangular numbers. A69674

Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code. A30505

Coefficients of·in the reduction of the polynomial p(n,x) = ((x+2)ⁿ + (x-2)ⁿ)/2 by x²->x+2. A192356

Numbers whose set of base-12 digits is {2,3}. A32812