Properties of the Number 11741

Eleven Thousand Seven Hundred Forty-One

Basics

Value: 11740 → 11741 → 11742

Parity: odd

Prime: No

Previous Prime: 11731

Next Prime: 11743

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 59 × 199

Divisors: 1, 59, 199, 11741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110111011101

Octal: 26735

Duodecimal: 6965

Hexadecimal: 2ddd

Square: 137851081

Square Root: 108.35589508651572

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

Sort-then-add sequence: a(n+1) = a(n) + sort(a(n)). A33860

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays x(i,j) with row sums ∑_j=1..k+1 x(i,j) nondecreasing, and column sums ∑_i=1..n+1 i·x(i,j) nondecreasing. A233117

a(n) = floor(γ(n+2/11)/γ(2/11)). A20058

a(n) = T(6,n), array T given by A048505. A48511

Sort then Add, a(1)=25. A33902

Sort then Add, a(1)=32. A33907

Surround numbers of a length 2n zig-zag. A60641

Number of (3+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i·x(i,j), i=1..3+1} nondecreasing. A233120

a(n) = ∑_{k=0..floor(n/2)} A027144(n-k, k). A27154

Multiplicity of highest weight (or singular) vectors associated with character chi₁₅₆ of Monster module. A34544