Properties of the Number 9830

Nine Thousand Eight Hundred Thirty

Basics

Value: 9829 → 9830 → 9831

Parity: even

Prime: No

Previous Prime: 9829

Next Prime: 9833

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 983

Divisors: 1, 2, 5, 10, 983, 1966, 4915, 9830

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001100110

Octal: 23146

Duodecimal: 5832

Hexadecimal: 2666

Square: 96628900

Square Root: 99.1463564635635

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

Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321. A51402

Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers. A67091

Starts of runs of 3 consecutive tribonacci-Niven numbers (A352089). A352091

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401

Natural numbers k such that k is a multiple of its number of "feasible" partitions. A254438

a(n) = 3·a(n-1) + 4·a(n-2), with a(0)=1, a(1)=2. A122117

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

Number of integer partitions of n whose weighted sum is not divisible by n. A362560

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862