Properties of the Number 35943

Thirty-Five Thousand Nine Hundred Forty-Three

Basics

Value: 35942 → 35943 → 35944

Parity: odd

Prime: No

Previous Prime: 35933

Next Prime: 35951

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11981

Divisors: 1, 3, 11981, 35943

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110001100111

Octal: 106147

Duodecimal: 18973

Hexadecimal: 8c67

Square: 1291899249

Square Root: 189.5863919167196

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

a(n) = n OR n³ (applied to ternary expansions). A8469

a(n) = n³ + 6. A84382

Total number of nodes summed over all self-avoiding planar walks starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restrictions that (0,1) and (1,-1) are never used above the diagonal and (1,0) and (-1,1) are never used below the diagonal and (1,1) can only be used below the diagonal. A303478

Number of 0..13 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171319

Partial sums of A001605. A172115

Number of 0..n-1 integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3. A171355

Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1. A35943

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252346