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Properties of the Number 21770

Twenty-One Thousand Seven Hundred Seventy

Basics

Value: 21769 → 21770 → 21771

Parity: even

Prime: No

Previous Prime: 21767

Next Prime: 21773

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 311

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 311, 622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010100001010

Octal: 52412

Duodecimal: 10722

Hexadecimal: 550a

Square: 473932900

Square Root: 147.5466028073842

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

Weird numbers: abundant (A005101) but not pseudoperfect (A005835). A6037
Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188). A64114
T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231828
Nonexponential weird numbers: nonexponential abundant numbers (A348604) that are not equal to the sum of any subset of their nonexponential divisors. A348631
(1+e)-weird numbers: (1+e)-abundant numbers k such that no subset of the aliquot (1+e)-divisors of k sums to k. A349285
Expansion of x*(1-3·x-2·x2)/(1-4·x+4·x3+x4). A107378
Number of distinct values of the sum of 5 products of three 0..n integers. A225262
Number of nX3 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231823
Number of nX4 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231824
Numbers k such that Bernoulli number Bk has denominator 4686. A295770