Properties of the Number 45423

Forty-Five Thousand Four Hundred Twenty-Three

Basics

Value: 45422 → 45423 → 45424

Parity: odd

Prime: No

Previous Prime: 45413

Next Prime: 45427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 103

Divisors: 1, 3, 7, 9, 21, 49, 63, 103, 147, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011000101101111

Octal: 130557

Duodecimal: 22353

Hexadecimal: b16f

Square: 2063248929

Square Root: 213.1267228669366

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

Smallest of three consecutive integers divisible respectively by three consecutive squares greater than 1. A178919

a(n) = floor(n(n-1)(n-2)(n-3)/19). A11929

Number of length n 0..2 arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean. A244934

Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5). A39881

Triangle read by rows: Bell transform of A000262. A265608

a(n) is the number of permutations of length n that avoid the pattern 231 and the mesh pattern (21, 337) or the same sequence for the mesh patterns (21, 339), (21, 369), (21, 371). A289448

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(3) standard deviations from its mean. A244940

a(n) is the least k for which the most significant decimal digits of k/n (disregarding any leading zeros) are n, or 0 if no such k exists. A298982

Primes congruent to {0, 3, 6} mod 7. A45423