Properties of the Number 42415

Forty-Two Thousand Four Hundred Fifteen

Basics

Value: 42414 → 42415 → 42416

Parity: odd

Prime: No

Previous Prime: 42409

Next Prime: 42433

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 17 × 499

Divisors: 1, 5, 17, 85, 499, 2495, 8483, 42415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010110101111

Octal: 122657

Duodecimal: 20667

Hexadecimal: a5af

Square: 1799032225

Square Root: 205.94902281875483

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) = n*(2·n² + 5·n + 13)/2. A163655

Number of 4X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 4 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192703

a(n) is the sum of (3ⁿ mod 2^k) for k such that 2^k < 3ⁿ. A337921

Denominators of continued fraction convergents to sqrt(735). A42415