Properties of the Number 42757

Forty-Two Thousand Seven Hundred Fifty-Seven

Basics

Value: 42756 → 42757 → 42758

Parity: odd

Prime: No

Previous Prime: 42751

Next Prime: 42767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 13 ² × 23

Divisors: 1, 11, 13, 23, 143, 169, 253, 299, 1859, 3289

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100000101

Octal: 123405

Duodecimal: 208B1

Hexadecimal: a705

Square: 1828161049

Square Root: 206.77765836762927

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

4-dimensional analog of centered polygonal numbers. A6325

a(1) = 1, a( n) = prime(a(n-1)) + 4a(n-1). A179515

a(n) = n²*(3·n² - 1)/2. A260810

Coefficient of·in the reduction by (x² -> x + 1) of the polynomial p(n,x) given in Comments. A192875

26-gonal pyramidal numbers: a(n) = n*(n+1)*(8·n-7)/2. A256646

Numbers k such that k is a multiple of A243071(k). A364964

Odd numbers k such that k is a multiple of A243071(k). A364965

Number of n X 3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224141

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 193", based on the 5-celled von Neumann neighborhood. A270686

Irregular array read by rows in which row floor(k/3)+1, where gcd(k,6)=1, lists the smallest elements, in ascending order, of conjecturally all primitive cycles of positive integers under iteration by the 3x+k function. A226607