Properties of the Number 10036

Ten Thousand Thirty-Six

Basics

Value: 10035 → 10036 → 10037

Parity: even

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13 × 193

Divisors: 1, 2, 4, 13, 26, 52, 193, 386, 772, 2509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011100110100

Octal: 23464

Duodecimal: 5984

Hexadecimal: 2734

Square: 100721296

Square Root: 100.17983829094555

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 1-separable partitions of n; see Comments. A239467

Relative of Hofstadter Q-sequence. A283892

a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k. A89493

a(n) = 8 - 12·n + 5·n². A145995

Numbers k such that the sum of the decimal digits of k is a substring of k, of k² and of k³. A162017

Total number of configurations that appear in the cycles, in the glass worms (or vers de verres) game with n glasses. A176336

Numbers k such that A084937(3k) > A084937(3k+1). A249689

Index position of {3}ⁿ within the list of partitions of 3n in canonical ordering. A332720

E.g.f.: ∏_k>=1 1/(1 - (exp(x) - 1)^k)^1/k!. A345756

Numbers k such that the continued fraction for sqrt(k) has period 74. A20413