Properties of the Number 71289

Seventy-One Thousand Two Hundred Eighty-Nine

Basics

Value: 71288 → 71289 → 71290

Parity: odd

Prime: No

Previous Prime: 71287

Next Prime: 71293

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 89 ²

Divisors: 1, 3, 9, 89, 267, 801, 7921, 23763, 71289

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001011001111001

Octal: 213171

Duodecimal: 35309

Hexadecimal: 11679

Square: 5082121521

Square Root: 267

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

a(n) and floor(a(n)/6) are both squares; i.e., squares that remain squares when written in base 6 and last digit is removed. A55851

Odd refactorable numbers. A36896

Squares that become prime when their most significant (or leftmost) digit is removed. A225873

Squares with initial digit '7'. A45791

a(n) = (14·n+1)². A134934

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as i + j and 4*(i + j)² + 1 are both prime or not. A228561

Perfect powers which have the form prime(n) + n for some n. A107606

Numbers n=2·k-1 where ∑_j=1..k (-1)^j+1 * d(2·j-1) achieves a new record, with d(n) = number of divisors of n (A000005). A318737

Square refactorable numbers. A36907

a(n) = (9·n + 6)². A17234