Properties of the Number 71660

Seventy-One Thousand Six Hundred Sixty

Basics

Value: 71659 → 71660 → 71661

Parity: even

Prime: No

Previous Prime: 71647

Next Prime: 71663

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 3583

Divisors: 1, 2, 4, 5, 10, 20, 3583, 7166, 14332, 17915

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011111101100

Octal: 213754

Duodecimal: 35578

Hexadecimal: 117ec

Square: 5135155600

Square Root: 267.69385499110734

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

For 1<=x<=n, 1<=y<=n with gcd(x,y)=1, write 1 = gcd(x,y) = u·x+v·y with u,v minimal; a(n) = m²*s, where s is the population variance of the values of |u| and m is the number of such values. A345694

Irregular triangle read by rows: T(n, k) is the number of chains of subspaces 0 < V₁ < ... < V_r = (F₄)ⁿ, counted up to coordinate permutation, with dimension increments given by (any fixed permutation of) the parts of the k-th partition of n in Abramowitz-Stegun order. A348115

G.f.: (1+x)^2·g*(1+x³)^3·g/((1-x²)*(1-x⁴))-x^2·g*(1+x)⁴/((1-x²)*(1-x⁴)) for g=3. A199629

Permutation of natural numbers induced by the automorphism robl_car_cdr! acting on the parenthesizations encoded by A014486. A71660