Properties of the Number 11742

Eleven Thousand Seven Hundred Forty-Two

Basics

Value: 11741 → 11742 → 11743

Parity: even

Prime: No

Previous Prime: 11731

Next Prime: 11743

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 19 × 103

Divisors: 1, 2, 3, 6, 19, 38, 57, 103, 114, 206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110111011110

Octal: 26736

Duodecimal: 6966

Hexadecimal: 2dde

Square: 137874564

Square Root: 108.36050941187015

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153

Number of maximal intersecting antichains of nonempty, non-singleton subsets of {1..n}. A326362

a(n) = n*(8·n+5). A139277

Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram". A34587

a(n) = floor(e*(n-1)*(n-1)!). A36918

Numbers of uniquely embeddable planar connected graphs on n vertices. A372853

Nearest integer to γ(n + 2/11)/γ(2/11). A20013

Ceiling of γ(n+2/11)/γ(2/11). A20103

Expansion of ∑_0<i<j<k<l q^2*(i+j+k+l-4)/( (1-q^2·i-1)*(1-q^2·j-1)*(1-q^2·k-1)*(1-q^2·l-1) )². A365666

a(n) gives smallest number requiring n iterations of the map i -> A053392(i) to reach zero. A60630