Properties of the Number -733

Seven Hundred Thirty-Three

Basics

Value: -734 → -733 → -732

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 733

Divisors: 1, 733

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: -1011011101

Octal: -1335

Duodecimal: -511

Hexadecimal: -2dd

Square: 537289

Square Root: 27.073972741361768

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

a(1) = -1, for n > 1, a(n) = ∑_{d∣n, d<n} A340197(n/d) * a(d). A340140

First order recursion: a(0)=1; a(n) = σ(1,n) - a(n-1). A83238

G.f. A(x) satisfies: 1/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307648

a(n) = A174817(n) - Mnr; where Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131. A174818

Expansion of ∏_k>=1 (1 - x^k)^prime(k+1). A353170

Emirps (primes whose reversal is a different prime). A6567

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Primes congruent to 1 (mod 12). A68228

Primes p such that (p+1)/2 is prime. A5383

Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits. A19546