Properties of the Number 67264

Sixty-Seven Thousand Two Hundred Sixty-Four

Basics

Value: 67263 → 67264 → 67265

Parity: even

Prime: No

Previous Prime: 67261

Next Prime: 67271

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 1051

Divisors: 1, 2, 4, 8, 16, 32, 64, 1051, 2102, 4204

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011011000000

Octal: 203300

Duodecimal: 32B14

Hexadecimal: 106c0

Square: 4524445696

Square Root: 259.3530412391572

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 binary matrices with rows and then columns in strictly increasing order as binary numbers. A180989

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock. A236137

E.g.f. A(x) satisfies A(x) = exp(x/(1+x³)² * A(x)). A390216

Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even. A33967

Trajectory of 3 under map n->21·n+1 if n odd, n->n/2 if n even. A37108

Number of (n+1)X(2+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock. A236135

Number of (n+1)xn binary matrices with rows and then columns in strictly increasing order as binary numbers. A180990

Numbers n such that prime(n+1)-prime(n)=bigomega(n). A67264