Properties of the Number 37957

Thirty-Seven Thousand Nine Hundred Fifty-Seven

Basics

Value: 37956 → 37957 → 37958

Parity: odd

Prime: Yes

Previous Prime: 37951

Next Prime: 37963

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 37957

Divisors: 1, 37957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010001000101

Octal: 112105

Duodecimal: 19B71

Hexadecimal: 9445

Square: 1440733849

Square Root: 194.82556300444764

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

Irregular triangle T read by rows: T(n, k) is the number of n-th order magic triangles with magic constant equal to A285009(n) + k, with 0 < k <= 3·n - 5. A342384

Numbers k such that 3·10^k + 7·R_k - 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A102976

Prime numbers p such that 10^j-1 < p < 10^j and p + 10^j+k are also prime numbers for k = 0 to 4. A224906

Lucky primes k such that k+6 is also a lucky prime. A309381

Primes p such that p² + 1 has more divisors than p² - 1. A358879

a(n) = binomial(n, floor((n-6)/2)). A37957

a(n) is the smallest multiple of A001414(a(n-1)) not yet seen in the sequence; a(1)=2. A300813