Properties of the Number 20977

Twenty Thousand Nine Hundred Seventy-Seven

Basics

Value: 20976 → 20977 → 20978

Parity: odd

Prime: No

Previous Prime: 20963

Next Prime: 20981

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 1907

Divisors: 1, 11, 1907, 20977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000111110001

Octal: 50761

Duodecimal: 10181

Hexadecimal: 51f1

Square: 440034529

Square Root: 144.83438818181267

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) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252961

Number of partitions of n having population standard deviation < 2. A238658

Number of (w,x,y) with all terms in {0,...,n} and w>=range{w,x,y}. A212968

Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments). A274470

Sum of antidiagonals of A060736. A61349

Number of (1+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252962

Convolution of natural numbers with Beatty sequence for the golden mean A000201. A23541

Expansion of 1/((1-8·x)*(1-9·x)*(1-11·x)). A20977