Properties of the Number 32301

Thirty-Two Thousand Three Hundred One

Basics

Value: 32300 → 32301 → 32302

Parity: odd

Prime: No

Previous Prime: 32299

Next Prime: 32303

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 97

Divisors: 1, 3, 9, 37, 97, 111, 291, 333, 873, 3589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111111000101101

Octal: 77055

Duodecimal: 16839

Hexadecimal: 7e2d

Square: 1043354601

Square Root: 179.7247896090019

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 T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 3412; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2-1)), read by rows. A264319

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232281

Number of permutations avoiding the consecutive pattern 3412. A113229

Numbers k such that φ(k) = τ(k)⁴, where τ(k) = A000005(k). A114063

a(n) is the number of edges formed by n-secting the angles of a nonagon (enneagon). A335783

Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3. A37717

Number of nX6 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232279

Number of 2 X n 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232282

Shifts left under "EFJ" (unordered, size, labeled) transform. A32301