Properties of the Number 37863

Thirty-Seven Thousand Eight Hundred Sixty-Three

Basics

Value: 37862 → 37863 → 37864

Parity: odd

Prime: No

Previous Prime: 37861

Next Prime: 37871

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 601

Divisors: 1, 3, 7, 9, 21, 63, 601, 1803, 4207, 5409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111100111

Octal: 111747

Duodecimal: 19AB3

Hexadecimal: 93e7

Square: 1433606769

Square Root: 194.5841720181783

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 partitions into non-integral powers. A158

a(n) = ∑_k=0..n C(n,k) * (2^k + 3^k)^n-k. A251661

Number of ways to partition digits 0-9 into signed terms in decreasing absolute value order with sum n. A389952

Number of nX5 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318088

Number of finite sets of integer partitions with all equal sums and total sum n. A359041

Numbers k such that A075255(k) is the square of a prime. A386954

Number of ways to write n as w² + x*(x+1) + 4^y*5^z with w,x,y,z nonnegative integers. A308566

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318091

a(n) = (number of digits <=1) - (number of digits >1) in base 4 representation of n. A37863

Expansion of g.f.: exp( ∑_n>=1 A251661(n)*xⁿ/n ) where A251661(n) = ∑_k=0..n C(n, k) * (2^k + 3^k)^n-k. A257605