Properties of the Number 75269

Seventy-Five Thousand Two Hundred Sixty-Nine

Basics

Value: 75268 → 75269 → 75270

Parity: odd

Prime: Yes

Previous Prime: 75253

Next Prime: 75277

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 75269

Divisors: 1, 75269

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011000000101

Octal: 223005

Duodecimal: 37685

Hexadecimal: 12605

Square: 5665422361

Square Root: 274.3519637254306

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

Primes of the form 6n² + 5. A201600

Primes p with π(p), π(π(p)) and π(p²) all prime, where π(.) is given by A000720. A237687

a(n) = prime(k-1) with k = n² + prime(n)². A243893

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k blocks of length 2 (0 <= k <= floor(n/2)). A block of a permutation is a maximal sequence of consecutive integers which appear in consecutive positions. For example, the permutation 5412367 has 4 blocks: 5, 4, 123, and 67; one of them is of length 2. A184183

Number of zero-sum nX1 -1..1 arrays with every element equal to at least one horizontal or vertical neighbor. A201840

Primes of the form 8n² - 3. A201856

Primes p such that if q and r are the next two primes, 6·q-r, 6·q-p, 6·q+p and 6·q+r are all prime. A351636

Product of Lucas numbers and inverted Lucas numbers: a(n)=A000032(n)*A075193(n). A75269