Properties of the Number 35373

Thirty-Five Thousand Three Hundred Seventy-Three

Basics

Value: 35372 → 35373 → 35374

Parity: odd

Prime: No

Previous Prime: 35363

Next Prime: 35381

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 907

Divisors: 1, 3, 13, 39, 907, 2721, 11791, 35373

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000101101

Octal: 105055

Duodecimal: 18579

Hexadecimal: 8a2d

Square: 1251249129

Square Root: 188.07711184511527

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..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283857

Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n that are to the right of T(n,k) with the vector of terms in column k that are above T(n,k) for n>k+1>0, with the odd numbers in the secondary diagonal and all 1's in the main diagonal. A128320

Column 0 of triangle A128320. A128321

Expansion of g/(1 - x·g)³, where g = 1+x·g³ is the g.f. of A001764. A391169

a(n) = a(n-1)+ a(round(2*(n-1)/3)) +a(round((n-1)/3)) starting a(1)=1. A33498

Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283853

Number of 4Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283860

Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278). A292703

Number of n X n 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. A283851

Number of partitions of n into parts 5k+2 or 5k+4. A35373