Properties of the Number 75078

Seventy-Five Thousand Seventy-Eight

Basics

Value: 75077 → 75078 → 75079

Parity: even

Prime: No

Previous Prime: 75041

Next Prime: 75079

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 43 × 97

Divisors: 1, 2, 3, 6, 9, 18, 43, 86, 97, 129

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010010101000110

Octal: 222506

Duodecimal: 37546

Hexadecimal: 12546

Square: 5636706084

Square Root: 274.0036496107306

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

Cyclops triangular numbers. A160717

Triangular numbers of the form k² + 2. A214838

z-value of the solution (x,y,z) to 5/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z and having the largest z-value. The·and y components are in A075249 and A075250. A75251

Triangular numbers which are an average of four consecutive primes. A226196

Triangular numbers for which the sum of the digits is a cube. A117803

Triangular numbers which become primes when their rightmost digit is removed. A227936

G.f. A(x) satisfies: A(x) = ∏_k>=1 1/(1 - k·x^k*A(x)). A302288

Triangular numbers representable as b! + c². A230364

Numbers k such that (28·10^k + 131)/3 is prime. A282815

Triangular numbers that are the sum of two distinct nonzero triangular numbers in exactly two ways. A350368