Properties of the Number -692

Six Hundred Ninety-Two

Basics

Value: -693 → -692 → -691

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 173

Divisors: 1, 2, 4, 173, 346, 692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -1010110100

Octal: -1264

Duodecimal: -498

Hexadecimal: -2b4

Square: 478864

Square Root: 26.30589287593181

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

Expansion of ∏_k>=1 ((1 - k·x^k) / (1 - x^k)). A267005

a(n) = ∑_i=0..n ∑_j=0..n ∑_k=0..n (-1)^i+j+k * (i+j+k)!/(i!*j!*k!). A307318

Expansion of q^-1 * f(-q², -q⁵)² * f(-q³, -q⁴) / f(-q¹, -q⁶)³ in powers of q where f() is Ramanujan's two-variable θ function. A108481

Expansion of (1-x)/(1-x+x²+x³). A78016

Expansion of (1-x)/(1 + x + x² - x³). A78046

Choose smallest m>0 such that the n-th rational prime p ramifies in the imaginary quadratic extension field K = Q(sqrt(-m)); a(n) = discriminant(K). A220861

Expansion of φ(-q) / φ(q⁴) in powers of q where φ() is a Ramanujan θ function. A208604

A(n,k) = ∑_i₁=0..n ∑_i₂=0..n ... ∑_{i_k=0..n} (-1)^{i₁ + i₂ + ... + i_k} * multinomial(i₁ + i₂ + ... + i_k; i₁, i₂, ..., i_k), square array A(n,k) read by antidiagonals, for n >= 0, k >= 0. A308322

G.f. satisfies A(x) = 1 + x·A(x * (1 - x³)). A360897

Expansion of q^-1 * f(-q³, -q⁴)³ / (f(-q¹, -q⁶)² * f(-q², -q⁵)) in powers of q where f() is Ramanujan's two-variable θ function. A246713