Properties of the Number 97052

Ninety-Seven Thousand Fifty-Two

Basics

Value: 97051 → 97052 → 97053

Parity: even

Prime: No

Previous Prime: 97039

Next Prime: 97073

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 19 × 1277

Divisors: 1, 2, 4, 19, 38, 76, 1277, 2554, 5108, 24263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111101100011100

Octal: 275434

Duodecimal: 481B8

Hexadecimal: 17b1c

Square: 9419090704

Square Root: 311.53169983165435

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 square (0,1)-matrices with exactly n entries equal to 1 and no zero row or columns. A104602

T(n,k) = Number of n X k arrays of occupancy after each element moves to some horizontal or vertical neighbor but without 2-loops. A217346

Number of n X 2 arrays of occupancy after each element moves to some horizontal or vertical neighbor but without 2-loops. A217340

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, with no 2-loops and with no occupancy greater than 2. A217227

Values of A038007 ending in 2. A38011

G.f.: ∑_k>=0 x^k*(k+1/2) * ∏_j=1..k 1/(1 - x^j)⁴. A376710

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2. A221400

First occurrence of n in A096036 or 0 if n does not appear. A97052

Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median of every 2X2 subblock. A236713