Properties of the Number 7407

Seven Thousand Four Hundred Seven

Basics

Value: 7406 → 7407 → 7408

Parity: odd

Prime: No

Previous Prime: 7393

Next Prime: 7411

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 823

Divisors: 1, 3, 9, 823, 2469, 7407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011101111

Octal: 16357

Duodecimal: 4353

Hexadecimal: 1cef

Square: 54863649

Square Root: 86.06392972668631

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 of partitions of n into parts each of which is used a different number of times. A98859

Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75421

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 10 multiples of n-1, n-2, ..., 1, for n>=1. A113747

Composites whose prime factorization in base 4 is an anagram of the number in base 4. A260048

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,2,0,1,4 for x=0,1,2,3,4. A196590

a(n) = 14·n² + 1. A158482

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,2,0,4,1 for x=0,1,2,3,4. A196802

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,0,1,3 for x=0,1,2,3,4. A197047

Sum of number of divisors of x^y for each x >= 1, y >= 0, x + y = n. A343657

n times n+7 gives the concatenation of two numbers m and m+7. A116340