Properties of the Number 37649

Thirty-Seven Thousand Six Hundred Forty-Nine

Basics

Value: 37648 → 37649 → 37650

Parity: odd

Prime: Yes

Previous Prime: 37643

Next Prime: 37657

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 37649

Divisors: 1, 37649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001100010001

Octal: 111421

Duodecimal: 19955

Hexadecimal: 9311

Square: 1417447201

Square Root: 194.03350226185168

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

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than three of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281344

Maximum water retention of a number square of order n. A261347

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A298287

Primes of the form k² + 13. A138375

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. A299180

Rounded volume of a regular dodecahedron with edge length n. A71401

Number of n X 2 0..1 arrays with no element equal to more than three of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281338

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A299359

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A299942

a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s·a(n)-floor(sqrt(s·a(n)))² is a square. A145215