Properties of the Number 19741

Nineteen Thousand Seven Hundred Forty-One

Basics

Value: 19740 → 19741 → 19742

Parity: odd

Prime: No

Previous Prime: 19739

Next Prime: 19751

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 1039

Divisors: 1, 19, 1039, 19741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110100011101

Octal: 46435

Duodecimal: B511

Hexadecimal: 4d1d

Square: 389707081

Square Root: 140.5026690137949

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

Sum of the prime parts in the partitions of n into 5 parts. A309466

Output of the linear congruential pseudo-random number generator used in function rand() as described in Kernighan and Ritchie, when seeded with 0. A96554

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294424

a(n) = 16·n² + 4·n + 1. A82041

E.g.f. A(x)=exp(x⁶+3·x⁵+4·x⁴+3·x³+2·x²+x). A186859

Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..2+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233361

Intersection of A002061 and A016105. A370519

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1100-0111-0010 pattern in any orientation. A147153

T(n,k) is the number of (n+1) X (k+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233366

Decimal expansion of e/4. A19741