Properties of the Number 21037

Twenty-One Thousand Thirty-Seven

Basics

Value: 21036 → 21037 → 21038

Parity: odd

Prime: No

Previous Prime: 21031

Next Prime: 21059

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 109 × 193

Divisors: 1, 109, 193, 21037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001000101101

Octal: 51055

Duodecimal: 10211

Hexadecimal: 522d

Square: 442555369

Square Root: 145.04137340772803

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

A051838 gives numbers m such that the sum of first m primes divides the product of the first m primes. This sequence gives corresponding values of the sum of first m primes. A140763

Semiprimes in A007504 (the sum of first n primes). A189072

a(n) = a(n-1) + a(n-4), starting 1,1,1,3. A14101

Number of partitions of n with difference 6 between the number of odd parts and the number of even parts, both counted without multiplicity. A242697

Pseudoprimes to base 63. A20191

Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n. A219965

Number of n X 4 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302676

Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 4 (mod 5). A35568

Numbers n such that 205·2ⁿ-1 is prime. A50854

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (1, 0, -1), (1, 0, 0)}. A148270