Properties of the Number 10018

Ten Thousand Eighteen

Basics

Value: 10017 → 10018 → 10019

Parity: even

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5009

Divisors: 1, 2, 5009, 10018

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011100100010

Octal: 23442

Duodecimal: 596A

Hexadecimal: 2722

Square: 100360324

Square Root: 100.08995953640904

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 partitions of 4n into 4 parts. A238340

Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7 and 16·k-15 are also products of two distinct primes. A177213

Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence). A122795

Numbers k that are the products of two distinct primes such that 2·k-1, 4·k-3, 8·k-7, 16·k-15 and 32·k-31 are also products of two distinct primes. A177214

Numbers that are the sum of five third powers in ten or more ways. A345187

Number of pairs (y, v), where y is a partition of n and v is a sub-multiset of y whose cardinality equals the number of distinct parts in y. A355383

a(n) = ∑_{i+j=n, i,j >= 1} τ(i)*σ(j), where τ() = A000005(), σ() = A000203(). A191831

a(n) = A239460(n) / n². A239463

Convolution of A073709, which is also the first differences of the unique terms of A073709. A73710

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283889