Properties of the Number 67346

Sixty-Seven Thousand Three Hundred Forty-Six

Basics

Value: 67345 → 67346 → 67347

Parity: even

Prime: No

Previous Prime: 67343

Next Prime: 67349

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 151 × 223

Divisors: 1, 2, 151, 223, 302, 446, 33673, 67346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011100010010

Octal: 203422

Duodecimal: 32B82

Hexadecimal: 10712

Square: 4535483716

Square Root: 259.511078761582

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 length n+3 0..k arrays with no four elements in a row with pattern abba (with a≠b) and new values 0..k introduced in 0..k order. A243389

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the middle of the box's edge. A336862

Number of length n+3 0..4 arrays with no four elements in a row with pattern abba (with a≠b) and new values 0..4 introduced in 0..4 order. A243385

Square array read by antidiagonals: T(n,k)=T(n,k-1)*n²/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67346

Number of (n+1)X8 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185767