Properties of the Number 3219

Three Thousand Two Hundred Nineteen

Basics

Value: 3218 → 3219 → 3220

Parity: odd

Prime: No

Previous Prime: 3217

Next Prime: 3221

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 37

Divisors: 1, 3, 29, 37, 87, 111, 1073, 3219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010010011

Octal: 6223

Duodecimal: 1A43

Hexadecimal: c93

Square: 10361961

Square Root: 56.73623181001713

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

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A68679

Total number of largest parts in all partitions of n into odd parts. A92311

List of binary palindromes of even length (written in base 10). A48701

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295357

Two-column table read by rows: Primitive distinct pairs that have the same value of φ, σ, and τ. A322688

Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base. A60949

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222488

Number of integer partitions of n whose minima of maximal anti-runs are not all different. A375404