Properties of the Number 10014

Ten Thousand Fourteen

Basics

Value: 10013 → 10014 → 10015

Parity: even

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1669

Divisors: 1, 2, 3, 6, 1669, 3338, 5007, 10014

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011110

Octal: 23436

Duodecimal: 5966

Hexadecimal: 271e

Square: 100280196

Square Root: 100.069975517135

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237974

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

a(n) = A239460(n) / n². A239463

Partial sums of ∑_k=1..n n/gcd(n,k), or partial sums of ∑_d∣n d*φ(d) (see A057660). A174405

Smallest number with n nonprime substrings (Version 3: substrings with leading zeros are counted as nonprime if the corresponding number is not a prime). A213304

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

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) 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. A283890

Relative of Hofstadter Q-sequence. A283891

Relative of Hofstadter Q-sequence. A283892

Magnetization for body-centered cubic lattice. A3193