Properties of the Number 21754

Twenty-One Thousand Seven Hundred Fifty-Four

Basics

Value: 21753 → 21754 → 21755

Parity: even

Prime: No

Previous Prime: 21751

Next Prime: 21757

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 73 × 149

Divisors: 1, 2, 73, 146, 149, 298, 10877, 21754

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101010011111010

Octal: 52372

Duodecimal: 1070A

Hexadecimal: 54fa

Square: 473236516

Square Root: 147.49237268414933

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

Table T(n,k) by antidiagonals. T(n,k) is the number of primitive (=aperiodic) k-ary words (n,k >= 1) with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A143327

Triangle of coefficients of polynomials v(n,x) jointly generated with A210862; see the Formula section. A210863

Number of primitive (=aperiodic) 4-ary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A320088

a(n) = (5·n+1)*(5·n+4). A1545

Numbers k such that Fibonacci(k) == +-1 (mod k) and k is neither 1 nor prime nor twice a prime. A279072

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 801", based on the 5-celled von Neumann neighborhood. A273575

Self-convolution of composite numbers. A23648

Expansion of 1/((1-x)(1-4x)(1-5x)(1-7x)). A21754

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252298