Properties of the Number 1036

One Thousand Thirty-Six

Basics

Value: 1035 → 1036 → 1037

Parity: even

Prime: No

Previous Prime: 1033

Next Prime: 1039

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 37

Divisors: 1, 2, 4, 7, 14, 28, 37, 74, 148, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001100

Octal: 2014

Duodecimal: 724

Hexadecimal: 40c

Square: 1073296

Square Root: 32.18695387886216

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

Numbers k such that (7·10^k + 71)/3 is prime. A270831

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Number of flat partitions of n: partitions {a_i} with each |a_i - a_i-1| <= 1. A34296

Generalized 12-gonal numbers: k*(5·k-4) for k = 0, +-1, +-2, ... A195162

Numbers that are the sum of 6 positive 5th powers. A3351

Expansion of 1/((1+x)*(1-x)⁵). A1752

a(n) = 2·n² - n + 1. A130883

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

Numbers n such that n¹⁰ + n⁹ + n⁸ + n⁷ + n⁶ + n⁵ + n⁴ + n³ + n² + n + 1 is prime. A162862

Number of integer partitions of n such that the greatest part is the unique mode. A362612