Properties of the Number 35272

Thirty-Five Thousand Two Hundred Seventy-Two

Basics

Value: 35271 → 35272 → 35273

Parity: even

Prime: No

Previous Prime: 35267

Next Prime: 35279

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 4409

Divisors: 1, 2, 4, 8, 4409, 8818, 17636, 35272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000100111001000

Octal: 104710

Duodecimal: 184B4

Hexadecimal: 89c8

Square: 1244113984

Square Root: 187.8084130170957

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..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254020

a(1)..a(4) = 0,0,0,1; thereafter a(n) = a(n-2)+a(n-3)+2*(d(n-3)+d(n-4)) where d(n) = A238824(n). A238825

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally and vertically. A254894

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254013

Expansion of f(-x³) * f(-x⁶) / (f(x) * f(-x⁴)) in powers of·where f() is a Ramanujan θ function. A261252

Expansion of (1-x)/(1+x+2·x²+x³). A78051

a(0)=0, a(1)=1, a(2)=2 and a(n) = a(n-1) - 2a(n-2) + a(n-3). A166117

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254016

Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254023

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally and vertically. A254890