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Properties of the Number 71706

Seventy-One Thousand Seven Hundred Six

Basics

Value: 71705 → 71706 → 71707

Parity: even

Prime: No

Previous Prime: 71699

Next Prime: 71707

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 17 × 19 × 37

Divisors: 1, 2, 3, 6, 17, 19, 34, 37, 38, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100000011010

Octal: 214032

Duodecimal: 355B6

Hexadecimal: 1181a

Square: 5141750436

Square Root: 267.77976025084496

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

Sums of the products of n consecutive pairs of numbers. A135036
a(n) = (1/(n+1)) * ∑k=0..n k2 * (k+1) * binomial(2·n-k,n-k). A390965
a(n) = (1)*(2 + 3 + 4 + ... + n) + (1 + 2)*(3 + 4 + 5 + ... + n) + (1 + 2 + 3)*(4 + 5 + 6 + ... + n) + ... + (1 + 2 + 3 + ... + n-1)*n. A67056
a(n) = number of (s(0), s(1), ..., s(2·n-1)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 3, s(2·n-1) = 6. Also a(n) = T(2·n-1,n-2), where T is defined in A026022. A26027
Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45. A64259
Numbers k such that k - 13, k + 1, k + 5, k + 7, and k + 13 are all prime. A281937
Number of graph minors in the n-pan graph. A353603
Number of weak compositions of n such that the set of adjacent differences is a subset of {-1,1}. A383620
Number of complete mappings f(x) of the cyclic group Z2n+1 such that -f(-x)=f. A71706
The smallest number k > 1 such that the total number of distinct prime factors of the digital reversal of k, when written in all bases b, where 2 <= b <= n, equals b. A392678