Properties of the Number 35948

Thirty-Five Thousand Nine Hundred Forty-Eight

Basics

Value: 35947 → 35948 → 35949

Parity: even

Prime: No

Previous Prime: 35933

Next Prime: 35951

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 11 × 19 × 43

Divisors: 1, 2, 4, 11, 19, 22, 38, 43, 44, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1000110001101100

Octal: 106154

Duodecimal: 18978

Hexadecimal: 8c6c

Square: 1292258704

Square Root: 189.59957805860222

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 (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251791

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+337)² = y². A129999

Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251785

Number of (n+2)X(5+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251788

Primitive pseudoperfect numbers (A006036) that are not primitive abundant (A071395). A335290

Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1. A35948

Number of nX7 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A269010

Number of nX7 binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once. A269074