Properties of the Number 37488

Thirty-Seven Thousand Four Hundred Eighty-Eight

Basics

Value: 37487 → 37488 → 37489

Parity: even

Prime: No

Previous Prime: 37483

Next Prime: 37489

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 11 × 71

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001001110000

Octal: 111160

Duodecimal: 19840

Hexadecimal: 9270

Square: 1405350144

Square Root: 193.61818096449517

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 integer partitions of n where 2*(number of distinct parts) >= (number of parts). A361394

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+137)² = y². A129544

Numbers k such that k*((2⁶¹-1)²) - 1 and k*((2⁶¹-1)²) + 1 are twin primes. A99229

Expansion of 1/(1-x²-x³+x⁷-x⁸+x¹⁰). A174577

Number of permutations p of 1,2,...,n satisfying p(i+6)-p(i)<>6 for all 1<=i<=n-6. A189285

Triangular array read by rows. T(n,k) is the number of n X n Boolean matrices with row rank k, n >= 0, 0 <= k <= n. A354741

Numbers k such that φ(k) = bigomega(k)*τ(k)². A68540

Number of 8X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 8 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192708

a(n) = 4·a(n-4) + 6·a(n-8) + 4·a(n-12) + a(n-16) for n>15, with the sixteen initial values as shown. A238188

Number of ways to place n nonattacking composite pieces rook + semi-rider[6,6] on an n X n chessboard. A189848