Properties of the Number 7386

Seven Thousand Three Hundred Eighty-Six

Basics

Value: 7385 → 7386 → 7387

Parity: even

Prime: No

Previous Prime: 7369

Next Prime: 7393

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1231

Divisors: 1, 2, 3, 6, 1231, 2462, 3693, 7386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011011010

Octal: 16332

Duodecimal: 4336

Hexadecimal: 1cda

Square: 54552996

Square Root: 85.94184079946159

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 equivalence classes of binary sequences of period n. A2729

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

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

a(n) = prime(n)*prime(n-1) - 1. A23515

T(n,k)=Number of (n+5)X(k+5) 0..1 matrices with each 6X6 subblock idempotent. A224577

Number of permutations τ of {1,...,n} such that k*τ(k) + 1 is prime for every k = 1,...,n. A321597

E.g.f. C(x,y) = 1 + Integral S(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322221

Number of integer partitions of n such that the least and greatest parts are both even or both odd. A391225

E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(y,x)² - S(y,x)² = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322222