Properties of the Number 71415

Seventy-One Thousand Four Hundred Fifteen

Basics

Value: 71414 → 71415 → 71416

Parity: odd

Prime: No

Previous Prime: 71413

Next Prime: 71419

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 23 ²

Divisors: 1, 3, 5, 9, 15, 23, 27, 45, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011011110111

Octal: 213367

Duodecimal: 353B3

Hexadecimal: 116f7

Square: 5100102225

Square Root: 267.23585088831175

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

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+3 of T), or [T^p](m,0) = p·T(p+m,p+3) for all m>=1 and p>=-3. A111544

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 1. A380889

Column 2 of triangle A111544. A111546

Matrix inverse of triangle A111544. A111548

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294367

Positive integers, c, such that there are more than two solutions to the equation a² + b³ = c⁴, with a, b > 0. A242381

Positive integers, c, such that there is more than one solution to the equation a² + b³ = c⁴, with a, b > 0. A242186

Maximal m such that all numbers in [0,m] are expressible as a·b + c with a + c <= n, b <= n and a,b,c nonnegative integers. A71415

Coefficients of power series A(x) such that coefficient of xⁿ in A(x)ⁿ⁺¹ equals (n+1)*(n+2)!/2 for n>=0. A230253