Properties of the Number 9948

Nine Thousand Nine Hundred Forty-Eight

Basics

Value: 9947 → 9948 → 9949

Parity: even

Prime: No

Previous Prime: 9941

Next Prime: 9949

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 829

Divisors: 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011011011100

Octal: 23334

Duodecimal: 5910

Hexadecimal: 26dc

Square: 98962704

Square Root: 99.73966111833346

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

T(n,k)=Number of nXk 0..2 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223195

Binomial transform of {b(n)}, where b(n)=1 for prime n and b(n)=0 otherwise. A52467

Sum of primes p with n² < p < (n+1)². A108314

Number of base 16 n-digit numbers with adjacent digits differing by one or less. A126370

a(n) = [x^2ⁿ+n-2] (x + x² + x⁴ + x⁸ + ... + x^2ⁿ)ⁿ /(n*(n-1)/2) for n>=2. A135071

a(n) = C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1). A115567

Expansion of (η(q⁷) / η(q))⁴ in powers of q. A121593

Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows k = 1,2,..., the sequence represents the number of terms a(i,k-i) in the expansion of the partial derivatives d^k y/duⁱ dv^k-i in terms of partial derivatives of g. A172004

Triangle read by rows: T(n,k) is the number of multiset partitions of weight n whose union is a k-set where each part has a different size. A332253

Symmetric triangle T, read by rows, where the matrix product of T and T transpose yields a square array which, when read by antidiagonals, equals this triangle read by rows. A194949