Properties of the Number 3948

Three Thousand Nine Hundred Forty-Eight

Basics

Value: 3947 → 3948 → 3949

Parity: even

Prime: No

Previous Prime: 3947

Next Prime: 3967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 47

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101101100

Octal: 7554

Duodecimal: 2350

Hexadecimal: f6c

Square: 15586704

Square Root: 62.83311228962003

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 overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

Expansion of 1 / ∏_k>=1 (1-x^k)^k+1. A5380

Fibonacci sequence beginning 0, 4. A22087

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 5 multiples of n-1, n-2, ..., 1, for n>=1. A113742

Number of nonagons that can be formed with perimeter n. A288255

a(n) = T(n,n-4), array T as in A055807. A55809

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants. A186902

T(n,k)=Number of length-n 0..k arrays with no repeated value greater than or equal to the previous repeated value. A269409

Number of basis partitions (or basic partitions) of n. A66447

Final term of n-th group in A075383. A75385