Properties of the Number 37416

Thirty-Seven Thousand Four Hundred Sixteen

Basics

Value: 37415 → 37416 → 37417

Parity: even

Prime: No

Previous Prime: 37409

Next Prime: 37423

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 1559

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1559, 3118

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001000101000

Octal: 111050

Duodecimal: 197A0

Hexadecimal: 9228

Square: 1399957056

Square Root: 193.43215865000317

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

Number of zig-zag paths from top to bottom of an n X n square whose color is that of the top right corner. A153334

Number of zig-zag paths from top to bottom of an n X n square whose color is not that of the top right corner. A153335

Number of zig-zag paths from top to bottom of a 2n by 2n square whose color is that of the top right corner. A153336

a(n) = ∑_k=1..n-1 k·A110971(n,k). A152086

Numbers n such that n² + 1 has two distinct prime divisors less than n. A263876

Expansion (1+x³)/(1-x-x⁷). A98527

a(n) = the smallest k such that k²+1 = p·A002144(n)², p prime of A002144 . A174492

Trisection of A107926: The least number k such that there are primes p and q with p - q = 6·n+4, p + q = k, and p the least such prime >= k/2. A234956

Positive numbers having the same set of digits in base 3 and base 4. A37416