Properties of the Number -7344

Three Hundred Forty-Four

Basics

Value: -7345 → -7344 → -7343

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110010110000

Octal: -16260

Duodecimal: -4300

Hexadecimal: -1cb0

Square: 53934336

Square Root: 85.6971411425142

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

Zero-field low-temperature series for 3-state Potts model. A7271

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as |i-j| is prime or not. A228638

G.f. A(x) satisfies A(x) = A(x²) - x·A(x²)³. A393196

Expansion of log(1+sinh(x))*cos(x). A9351

Sign weighted matrices n X n:example {{2 w[2], w[0], w[1]}, {3 w[0], 2 w[1], w[2]}, {3 w[1], 3 w[2], 2 w[0]}} are made into monomials using w[n]=1 if n<>0, x if n==0. The coefficients of the monomials form a triangular sequence. A140326

Smallest k such that φ(x) = k has exactly n solutions, n>=2. A7374

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286781

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599