Properties of the Number 72927

Seventy-Two Thousand Nine Hundred Twenty-Seven

Basics

Value: 72926 → 72927 → 72928

Parity: odd

Prime: No

Previous Prime: 72923

Next Prime: 72931

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 37 × 73

Divisors: 1, 3, 9, 27, 37, 73, 111, 219, 333, 657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110011011111

Octal: 216337

Duodecimal: 36253

Hexadecimal: 11cdf

Square: 5318347329

Square Root: 270.0499953712275

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) = concatenation of n² and n. A55436

a(n) = 100·n² + n. A55438

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u²+v². A345434

Mixed partitions of n. A2096

a(n) = floor(n·exp(n)). A58738

Palindromic numbers that are fixed points of the TITO operation (see A161594) and are not products of palindromic primes. A161730

Palindromic composite numbers starting with a digit 7. A222728

Number of distinct characteristic polynomials for 2 X 2 matrices with entries from {0, 1, ..., n}. A366448

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 20. A31698

Smallest multiple of n which begins with R(n) and ends in n where R(n) (A004086) is the digit reversal of n. Suitable number of zeros are assumed to the left of the MSD if required. A77741