Properties of the Number -21735

Twenty-One Thousand Seven Hundred Thirty-Five

Basics

Value: -21736 → -21735 → -21734

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 7 × 23

Divisors: 1, 3, 5, 7, 9, 15, 21, 23, 27, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

7925 Try Today's Challenge

Representations

Binary: -101010011100111

Octal: -52347

Duodecimal: -106B3

Hexadecimal: -54e7

Square: 472410225

Square Root: 147.42794850366738

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

Triangle T(n, m) appearing in the expansion of the scaled phase space coordinate qhat of the plane pendulum in terms of the Jacobi nome q and sin(v) multiplying even powers of 2·cos(v), with v = u/((2/π)*K(k)). A275790

E.g.f.: exp(arcsin(x)-arctan(x))=1+3/3!*x³-15/5!*x⁵+90/6!*x⁶+945/7!*x⁷... A13407

arcsin(arcsin(x)-arctan(x))=3/3!*x³-15/5!*x⁵+945/7!*x⁷-21735/9!*x⁹... A13408

Numbers k such that both k and k+1 are abundant. A96399

Numbers that are the sum of 9 positive 9th powers. A3398

Odd infinitary abundant numbers. A127666

Numbers k such that k and k+1 have 4 distinct prime factors. A140078

Numbers k such that k and k + 1 are both Niven numbers in base 3/2 (A342426). A342427

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

Numbers k such that both k and k+1 are bi-unitary abundant numbers. A318167