Properties of the Number 19745

Nineteen Thousand Seven Hundred Forty-Five

Basics

Value: 19744 → 19745 → 19746

Parity: odd

Prime: No

Previous Prime: 19739

Next Prime: 19751

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 359

Divisors: 1, 5, 11, 55, 359, 1795, 3949, 19745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110100100001

Octal: 46441

Duodecimal: B515

Hexadecimal: 4d21

Square: 389865025

Square Root: 140.51690289783645

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

The smallest position with nim-value n in subtract-a-square game. A297963

Imbalance of the sum of parts of all partitions of n. A194797

a(k) such that A225258 column k of T(n,k) = n·k³ - a(k) for large n. A225263

Indices of primes in sequence defined by A(0) = 51, A(n) = 10·A(n-1) + 31 for n > 0. A101578

G.f. satisfies: A(x) = x + x·sqrt(A(A(x)) - A(x)). A185754

Number of (n+1) X (2+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250723

Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299450

Lesser of 2 successive sphenic numbers (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A363830

arctanh(arcsin(arctan(x))) = x + 1/3!*x³ + 17/5!*x⁵ + 225/7!*x⁷ + 19745/9!*x⁹ + ... A12095

a(1) = 1, a(2) = 2; for n >= 3, a(n) = (n-1)³ - a(n-1) - a(n-2). A361134