Properties of the Number 7334

Seven Thousand Three Hundred Thirty-Four

Basics

Value: 7333 → 7334 → 7335

Parity: even

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 19 × 193

Divisors: 1, 2, 19, 38, 193, 386, 3667, 7334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010100110

Octal: 16246

Duodecimal: 42B2

Hexadecimal: 1ca6

Square: 53787556

Square Root: 85.63877626402656

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

Numbers that are the sum of 9 nonzero 8th powers. A3387

Numbers that are the sum of nine fourth powers in six or more ways. A345590

Numbers that are the sum of nine fourth powers in exactly six ways. A345848

a(1) = 393; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1). edit. A105210

Number of ways to place 4 nonattacking zebras on an n X n board. A172139

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically. A258522

a(n) = n * ∑_d∣n binomial(d+3,4)/d. A343545

Number of integer partitions of n whose rounded-down mean is 2. A363745

Number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also sum of numbers in row n+1 of the array T defined in A026120. A26135

a(n) = (1/24)*n*(n + 5)*(n² + n + 6). A51743