Properties of the Number 20573

Twenty Thousand Five Hundred Seventy-Three

Basics

Value: 20572 → 20573 → 20574

Parity: odd

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 2939

Divisors: 1, 7, 2939, 20573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001011101

Octal: 50135

Duodecimal: BAA5

Hexadecimal: 505d

Square: 423248329

Square Root: 143.43291114664027

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 number of terms in the analog of A121805 but starting with n, or -1 if that sequence is infinite. A330128

a(n) is the number of terms in the analog of A121805 but starting with A037124(n), or -1 if that sequence is infinite. A367601

Expansion of ∑_n>=1 ((n-1) * q^n*(n+1/2) / ∏_k=1..n (1 - q^k)). A218074

2^p-1 modulo p³, where p = prime(n). A271234

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294551

The number of distinct positions on an infinite chessboard reachable by the (3,4)-leaper in <= n moves. A297741

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x+3)^k. A246798

Lesser of 2 successive squarefree semiprimes (k, k+5) sandwiching 4 consecutive nonsquarefree numbers. A368589

Analog of A121805, but starting with 10. A367354

Expansion of 1/((1-6x)(1-7x)(1-11x)). A20573