Properties of the Number 50003

Fifty Thousand Three

Basics

Value: 50002 → 50003 → 50004

Parity: odd

Prime: No

Previous Prime: 49999

Next Prime: 50021

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 31 × 1613

Divisors: 1, 31, 1613, 50003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001101010011

Octal: 141523

Duodecimal: 24B2B

Hexadecimal: c353

Square: 2500300009

Square Root: 223.61350585329143

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

a(n) is the cardinality of the "Cross Set" which is the subset of distinct resistances that can be produced by a circuit of n unit resistors using only series or parallel combinations which cannot be decomposed as a single unit resistor in either series or parallel with a circuit of n-1 unit resistors. A176497

Number of series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of n with no 1's. A320293

Numbers n such that there are (presumably) nine palindromes in the Reverse and Add! trajectory of n. A90070

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n,1) = T(n,n) = 1, otherwise T(n,k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = -3. A392664

Numerators of the determinant of matrix (M(n) - H(n)), where H(n) is the n-th Hilbert matrix and M(n) is an n X n matrix with i,j-th entry i+j-1. A61913

a(n) is the least semiprime > a(n-1) whose digits do not appear in a(n-1). A131220

Numbers k such that k and k² use only the digits 0, 2, 3, 5 and 9. A136891

Number of length n 1..(3+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7. A258626

Record values in A356640. A356642

a(n) is the least composite number obtained by inserting a nonempty string of 0's inside n. A382277