Properties of the Number 1573

One Thousand Five Hundred Seventy-Three

Basics

Value: 1572 → 1573 → 1574

Parity: odd

Prime: No

Previous Prime: 1571

Next Prime: 1579

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 ² × 13

Divisors: 1, 11, 13, 121, 143, 1573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100101

Octal: 3045

Duodecimal: AB1

Hexadecimal: 625

Square: 2474329

Square Root: 39.66106403010388

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Prime shift array: Square array read by antidiagonals: A(1,col) = 2·col, and for row > 1, A(row,col) = A003961(A(row-1,col)). A246278

Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes. A7811

Generalized 22-gonal (or icosidigonal) numbers: m*(10·m - 9) with m = 0, +1, -1, +2, -2, +3, -3, ... A303299

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

(24n - 1)p(n): traces of partition class polynomials, with a(0) = -1. A183011

Left diagonal of partition triangle A047812. A7042

Numbers of the form (11ⁱ)*(13^j). A108090

Square array A(n,k) = A017666(A246278(n,k)), read by falling antidiagonals; denominator of abundancy index as applied onto prime shift array A246278. A341606

a(n) = ∏_i=1..n (12ⁱ - 1). A27880