Properties of the Number -407

Four Hundred Seven

Basics

Value: -408 → -407 → -406

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 11 × 37

Divisors: 1, 11, 37, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110010111

Octal: -627

Duodecimal: -29B

Hexadecimal: -197

Square: 165649

Square Root: 20.174241001832016

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 + x^6·k)/(1 + x^k). A261736

G.f.: Im((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292043

Expansion of ∏_k>=1 (1 - x^k * (1 + x)). A306565

Expansion of g.f. A(x,y) satisfying ∑_n>=0 ∏_k=1..n (x^k + y·A(x,y)) = 1 + (y+1) * ∑_n>=1 x^n*(n+1/2), as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) read by rows. A370140

A sequence of row differences for table A182119. A182188

Expansion of exp( ∑_n>=1 -3*σ(2n)*xⁿ/n ) in powers of x. A185653

Expansion of q^-2/5 * (r(q²) + r(q)²) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction. A285555

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202674 based on (1,3,5,7,9,...); by antidiagonals. A202675

Numerator generator for offsets from the quarter points of the Cantor ternary set to the center points of deleted middle thirds: 1 is in the list and if m is in the list -3m-4 and -3m+4 are in the list, which is ordered by absolute value. A355680

Nonzero numerators in asymptotic expansion of the Riemann-Seigel Z-function. A50276