Properties of the Number -697

Six Hundred Ninety-Seven

Basics

Value: -698 → -697 → -696

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 41

Divisors: 1, 17, 41, 697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: -1010111001

Octal: -1271

Duodecimal: -4A1

Hexadecimal: -2b9

Square: 485809

Square Root: 26.40075756488817

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 ∏_m>=1 (1+q^m)^-17. A22612

Irregular array read by rows of numerators in which row n has one numerator from each irreducible cycle of n rational numbers under iteration by the 3x+1 function. (See Comments for selection and order of numerators.) A226605

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of exp(-∑_j>0 sigma_k(j)*x^j/j) in powers of x. A294947

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = sqrt(6)/2. A279594

a(n) = t(n)*a(n-1) + a(n-2) for n>1 where t(n) is the Prouhet-Thue-Morse sequence A106400 with a(0)=0 and a(1)=1. A348112

a(n) = prime(n)*(prime(n + 1) + 1) - (n³ + sum of digits of n³). A123139

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of fractions in Farey series of order n. A5728

Brilliant numbers: semiprimes (products of two primes, A001358) whose prime factors have the same number of decimal digits. A78972

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787