Properties of the Number 30753

Thirty Thousand Seven Hundred Fifty-Three

Basics

Value: 30752 → 30753 → 30754

Parity: odd

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17 × 67

Divisors: 1, 3, 9, 17, 27, 51, 67, 153, 201, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100000100001

Octal: 74041

Duodecimal: 15969

Hexadecimal: 7821

Square: 945747009

Square Root: 175.3653329481058

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) = n³ + n² + 1. A98547

Difference between upper and lower member of a pair of adjacent perfect powers A340700 and A340701, both with exponents > 2. A340706

a(n) = 32·n² + 1. A158575

Smallest base b such that there exist exactly n Wieferich pseudoprimes (composites c satisfying b^c-1 == 1 (mod c²)) less than b. A255885

Numbers m that minimize | k / EulerPhi(k) - golden ratio φ | when k runs over all the numbers with the same number of digits as m. A65657

a(n) = 961·n + 1. A158414

The floor[n^3/4]-perfect numbers, where f-perfect numbers for an arithmetical function f is defined in A066218. A66363

a(n) = prime(n)³ + prime(n)² + 1. A181151

Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192705

Number of (4+2) X (n+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252723