Properties of the Number 20071

Twenty Thousand Seventy-One

Basics

Value: 20070 → 20071 → 20072

Parity: odd

Prime: Yes

Previous Prime: 20063

Next Prime: 20089

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 20071

Divisors: 1, 20071

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111001100111

Octal: 47147

Duodecimal: B747

Hexadecimal: 4e67

Square: 402845041

Square Root: 141.67215675636479

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

Shifts left when INVERT transform applied thrice. A7564

Primes of the form 2·n² + 34·n + 15. A217494

Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by decreasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319375

Table T(n,k), n>=0 and k>=0, read by antidiagonals: the k-th column given by the k-th Narayana polynomial. A8550

Numerators of triangle T(n,k), n>=1, 0<=k<=n - 1, read by rows: T(n,k) is the coefficient of x^k in polynomial p_n for the n-th row sequence of A145153. A145140

Square array of Narayana polynomials N_n evaluated at the integers, A(n,k) = N_n(k), n>=0, k>=0, read by antidiagonals. A243631

a(n) = N(7,n), where N(7,x) is the 7th Narayana polynomial. A90200

Triangle derived from an array of f(x), Narayana polynomials. A204057

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * ∑_j=1..n 2^n-j * binomial(n,j) * binomial(n+(k-1)*j,j-1) for n > 0. A336707

Primes p having exactly one partition into distinct divisors of p+1. A85499