Properties of the Number 3225

Three Thousand Two Hundred Twenty-Five

Basics

Value: 3224 → 3225 → 3226

Parity: odd

Prime: No

Previous Prime: 3221

Next Prime: 3229

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 43

Divisors: 1, 3, 5, 15, 25, 43, 75, 129, 215, 645

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010011001

Octal: 6231

Duodecimal: 1A49

Hexadecimal: c99

Square: 10400625

Square Root: 56.789083458002736

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

Consider n equally spaced points along a line and join every pair of points by a semicircle above the line; a(n) is the number of intersection points. A290447

a(n) = (n+1)*(n² +8·n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times. A8778

Generalized 29-gonal (or icosienneagonal) numbers: m*(27·m - 25)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303815

a(0) = 0, a(1) = 1; a(n) = max { 4·a(k) + a(n-k) | 1 <= k <= n/2 }, for n > 1. A116520

Second 9-gonal (or nonagonal) numbers: a(n) = n*(7·n+5)/2. A179986

Numbers m such that 2^m + m is prime. A52007

Numbers k such that the decimal number 1k is a square. A272671

Main diagonal of A277320: a(n) = A048720(n, A065621(n)). A277699

G.f.: (1+x⁸+x⁹+x¹⁰+x¹⁸)/((1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A97851

a(n) = 10·binomial(n,2) + 9·n. A135705