Properties of the Number 29085

Twenty-Nine Thousand Eighty-Five

Basics

Value: 29084 → 29085 → 29086

Parity: odd

Prime: No

Previous Prime: 29077

Next Prime: 29101

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 277

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 277, 831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000110011101

Octal: 70635

Duodecimal: 149B9

Hexadecimal: 719d

Square: 845937225

Square Root: 170.54324964653395

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

Sum of the smallest parts of the partitions of 4n into 4 parts with smallest part greater than 1. A238706

Expansion of 1/(1 - x² - x⁷). A369813

a(n) = ∑_{k=0..floor(n/7)} C(n-5·k,2·k). A98574

Number of squares of all sizes in 3·n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds. A258440

The Wiener index of the Dutch windmill graph D(5,n) (n>=1). A180579

Number of spanning trees of the class H₃. A386907

a(n) = (2·n³ + 5·n² - 11·n)/2. A162257

Number of (n+1) X 3 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186455

Antidiagonal sums of A068914. A334683

Expansion of 1/((1-x)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A29085