Properties of the Number 7224

Seven Thousand Two Hundred Twenty-Four

Basics

Value: 7223 → 7224 → 7225

Parity: even

Prime: No

Previous Prime: 7219

Next Prime: 7229

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 43

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1110000111000

Octal: 16070

Duodecimal: 4220

Hexadecimal: 1c38

Square: 52186176

Square Root: 84.99411744350311

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

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

Numbers k such that L(2·k + 1) is prime, where L(m) is a Lucas number. A117522

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms. A250059

Number T(n,k) of ordered set partitions of [n] where k is minimal such that for each block b the smallest integer interval containing b has at most k elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A276891

Number of primes between n·100000 and (n+1)*100000. A38825

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Number of permutations p of {1,...,n} such that exactly one element of {p(1),...,p(i-1)} is between p(i) and p(i+1) for all i from 2 to n-1. A185030

Triangle T(n, k) = (m*(n-k) + 1)*T(n-1, k-1) + (m*(k-1) + 1)*T(n-1, k) + j·T(n-2, k-1), where T(n, 1) = T(n, n) = 1, m = 1, and j = 4, read by rows. A144436

Numbers n such that 1ⁿ + 2ⁿ + 3ⁿ + ... + nⁿ == 4 (mod n). A226962

Four times the sum of all divisors of all positive integers <= n. A243980