Properties of the Number 73737

Seventy-Three Thousand Seven Hundred Thirty-Seven

Basics

Value: 73736 → 73737 → 73738

Parity: odd

Prime: No

Previous Prime: 73727

Next Prime: 73751

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 2731

Divisors: 1, 3, 9, 27, 2731, 8193, 24579, 73737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010000000001001

Octal: 220011

Duodecimal: 36809

Hexadecimal: 12009

Square: 5437145169

Square Root: 271.545576285087

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

Numbers that are palindromic in bases 2 and 10. A7632

Numbers such that all the substrings of length <= 2 are primes. A211681

Numbers such that RevBinary() = RevDecimal(), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101). A81434

a(n) = 4·n³ + 5·n² + 2·n + 1. A204674

E.g.f. S(x) satisfies: S(x) = Integral (1 + S(x)²)^9/2 dx. A281443

Final terms of rows of A077529. A77530

n-th largest palindrome whose digit sum is n. A82265

Consider a decimal number of k>=2 digits x = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁ and the transform T(x)-> (d_k+d_k-1 mod 10)*10^k-1 + (d_k-1+d_k-2 mod 10)*10^k-2 + … + (d₂+d₁ mod 10)*10 + (d₁+d(k) mod 10). Sequence lists the numbers·such that T(x)=0. A243994

Numbers k such that the k-th triangular number contains each of the 10 decimal digits exactly once. A115939

Truncated dodecahedron, and truncated icosahedron with faces of centered polygons. A193248