Properties of the Number 71973

Seventy-One Thousand Nine Hundred Seventy-Three

Basics

Value: 71972 → 71973 → 71974

Parity: odd

Prime: No

Previous Prime: 71971

Next Prime: 71983

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 727

Divisors: 1, 3, 9, 11, 33, 99, 727, 2181, 6543, 7997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100100100101

Octal: 214445

Duodecimal: 35799

Hexadecimal: 11925

Square: 5180112729

Square Root: 268.27784105289055

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

Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1. A99010

Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles, including fixed points. A164716

a(1) = 0, a(2) = 1, and for n > 2, a(n) = 2·a(A252463(n)) + [n == 1 (mod 2)]*[J(3∣n) == 1], where J is the Jacobi-symbol. A292253

a(n) = n*(2·n² + 3), n >= 1; a(0)=1. A288534

Number of primes less than or equal to πⁿ. A71973