Properties of the Number 37241

Thirty-Seven Thousand Two Hundred Forty-One

Basics

Value: 37240 → 37241 → 37242

Parity: odd

Prime: No

Previous Prime: 37223

Next Prime: 37243

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 167 × 223

Divisors: 1, 167, 223, 37241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101111001

Octal: 110571

Duodecimal: 19675

Hexadecimal: 9179

Square: 1386892081

Square Root: 192.97927349847703

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

Triangle T(n,k), n>=1, 1<=k<=n, where the e.g.f. for column k satisfies: A_k(x) = exp(x·A_k(x^k/k!)). A143565

Expansion of e.g.f. exp( x·exp(x³/6) ). A354551

E.g.f. satisfies A(x) = exp(x·A(x³/3!)). A143567

a(n) gives the odd leg of one of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the smaller of the two possible odd legs. A253802

Numbers for which the root mean square of nontrivial divisors is an integer and which are not a square of prime numbers. A247137

Real part of (n + i)⁴. A272870

Brilliant numbers k such that 2k+1 is also brilliant. A85649

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero. A305338

Expansion of (1+3·x²+7·x³+15·x⁴+13·x⁵+15·x⁶+8·x⁷+4·x⁸)/((1-x)*(1-x²)³*(1-x³)²). A37241