Properties of the Number 37506

Thirty-Seven Thousand Five Hundred Six

Basics

Value: 37505 → 37506 → 37507

Parity: even

Prime: No

Previous Prime: 37501

Next Prime: 37507

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 19 × 47

Divisors: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010000010

Octal: 111202

Duodecimal: 19856

Hexadecimal: 9282

Square: 1406700036

Square Root: 193.6646586241279

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

Smallest ∏_i:λ prime(i) for any complete partition λ of n. A259941

Alexandrian integers: numbers of the form n = p·q*r such that 1/n = 1/p - 1/q - 1/r for some integers p,q,r. A147811

Values of n such that n² + (n-d)² is prime for a record first value of d. A239390

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are > p/2. A282722

Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way. A308233

a[n] = number of bit strings of length n which have exactly as many substrings 000 as substrings 111. A158422

a(n) = sum of cubes of the coefficients of xⁿ in x^n-3k*A(x³)^n-3k+1, as k varies from 0 to floor(n/3) for n>0, with a(0)=1. A121643

Number of (n+1) X (3+1) 0..2 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2 X 2 subblock equal. A236888

Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0. A37506