Properties of the Number 37663

Thirty-Seven Thousand Six Hundred Sixty-Three

Basics

Value: 37662 → 37663 → 37664

Parity: odd

Prime: Yes

Previous Prime: 37657

Next Prime: 37691

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 37663

Divisors: 1, 37663

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001100011111

Octal: 111437

Duodecimal: 19967

Hexadecimal: 931f

Square: 1418501569

Square Root: 194.06957515283017

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

Primes having only {3, 6, 7} as digits. A260380

"Convex" primes: extremal primes in the sense of Tutaj. A246033

Primes p such that q-p = 28, where q is the next prime after p. A124595

Number of permutations of length n which avoid the patterns 2341 and 3421. A165545

Primes p such that p + 4, p + 16, p + 64, p + 256 and p + 1024 are all semiprimes. A241493

Primes p of the form m² + 27. A227622

Primes p such that ψ(p+1) = ψ(p+2). A389278

Primes which can be represented as the sum of a prime and its reverse. A72385

Number of partitions of n with difference -7 between the number of odd parts and the number of even parts, both counted without multiplicity. A242685

Fold a square sheet of paper alternately vertically to the left and horizontally downwards; after each fold, draw a line along each inward crease; after n folds, the largest region in the resulting graph occupies a(n)/2ⁿ of the whole sheet. A342764