Properties of the Number 34575

Thirty-Four Thousand Five Hundred Seventy-Five

Basics

Value: 34574 → 34575 → 34576

Parity: odd

Prime: No

Previous Prime: 34549

Next Prime: 34583

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 461

Divisors: 1, 3, 5, 15, 25, 75, 461, 1383, 2305, 6915

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011100001111

Octal: 103417

Duodecimal: 18013

Hexadecimal: 870f

Square: 1195430625

Square Root: 185.94353981787052

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 n X 1 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value. A268013

Molien series for group G_1,3 of order 2304. A51461

Molien series for group G_1,3⁸ of order 4608. A51463

Expansion of (1-x)^-1/(1-2·x-2·x²+2·x³). A77847

T(n,k)=Number of length-n 0..k arrays with no repeated value greater than the previous repeated value. A269435

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value. A268019

Smallest semiprime q such that 2·prime(n) - q is semiprime, or a(n)=0 if there is no such q. A241535

Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281607

Multiplicity of highest weight (or singular) vectors associated with character chi₁₈₇ of Monster module. A34575