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Properties of the Number 16766

Sixteen Thousand Seven Hundred Sixty-Six

Basics

Value: 16765 → 16766 → 16767

Parity: even

Prime: No

Previous Prime: 16763

Next Prime: 16787

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 83 × 101

Divisors: 1, 2, 83, 101, 166, 202, 8383, 16766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100000101111110

Octal: 40576

Duodecimal: 9852

Hexadecimal: 417e

Square: 281098756

Square Root: 129.48358969382954

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

a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. A101042
A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime. A101043
Indices of squares of primes in A098550. A251240
a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units formed by directly binary space partitioning 3-trapezoid sets without forming 4-trapezoid sets. A391203
Numbers k such that σ(k) plus the k-th prime is a triangular number. A115907
Irregular triangle read by rows: T(n,k) is the number of polyominoes of size k, i.e., connected subsets of k square cells (or vertices), of the n X n flat torus, up to cyclic shifts and reflections of rows and columns; 1 <= k <= n2. A385383
a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, -1, 1, 1. A25258
Denominators of continued fraction convergents to sqrt(393). A41747
Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n). A63381
Number of 3-multiantichains of an n-set. A84870