Properties of the Number 75029

Seventy-Five Thousand Twenty-Nine

Basics

Value: 75028 → 75029 → 75030

Parity: odd

Prime: Yes

Previous Prime: 75017

Next Prime: 75037

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 75029

Divisors: 1, 75029

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010100010101

Octal: 222425

Duodecimal: 37505

Hexadecimal: 12515

Square: 5629350841

Square Root: 273.9142201493015

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

a(n) = Fibonacci(n) + 4. A157727

Smallest prime >= n-th Fibonacci number. A138185

Next prime after n-th Fibonacci number. A14208

Index of 2ⁿ in A353709. A353405

Primes that can be expressed as the sum of a Fibonacci number and the square of a Fibonacci number. A178991

Number of 3Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. A301792

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304137

Primes that are the sum of squares of three positive Fibonacci numbers. A191375

a(n) is the smallest number k such that the number of divisors of the n numbers from k through k+n-1 are decreasing. A75029

Numbers m such that m divides A173290(m) = ∑_k=1..m ψ(k), where ψ is the Dedekind ψ function (A001615). A309272