Properties of the Number 72446

Seventy-Two Thousand Four Hundred Forty-Six

Basics

Value: 72445 → 72446 → 72447

Parity: even

Prime: No

Previous Prime: 72431

Next Prime: 72461

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 37 × 89

Divisors: 1, 2, 11, 22, 37, 74, 89, 178, 407, 814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101011111110

Octal: 215376

Duodecimal: 35B12

Hexadecimal: 11afe

Square: 5248422916

Square Root: 269.15794619516623

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

Numbers n such that n²⁰⁴⁸ + 1 is prime (a generalized Fermat prime). A88361

Number of (n+1) X (n+1) -2..2 symmetric matrices with every 2 X 2 subblock having sum zero and two or three distinct values. A211115

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 1), (1, 1, -1)}. A149466

Numbers k such that 7·R_k+2 - 6·10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k. A257027

Number of connectedness systems on n vertices that contain all singletons. A72446

T(n,k)=Number of nXk 0..2 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 3. A240039