Properties of the Number 10026

Ten Thousand Twenty-Six

Basics

Value: 10025 → 10026 → 10027

Parity: even

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 557

Divisors: 1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100101010

Octal: 23452

Duodecimal: 5976

Hexadecimal: 272a

Square: 100520676

Square Root: 100.12991560967181

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

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,3,3,...) and super- and subdiagonals (1,1,1,...). A124733

Number of times the digit 5 appears in the first 10ⁿ digits of π. A99296

Number of partitions of n with n kinds of 1. A292463

Expansion of g.f. x*(-1-x-3·x²-x³+2·x⁵)/((2·x³+x²-1)*(x⁴+1)). A107851

Ulam's spiral (WNW spoke). A143859

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

Indices of primes in A000219. A285216