Properties of the Number 7033

Seven Thousand Thirty-Three

Basics

Value: 7032 → 7033 → 7034

Parity: odd

Prime: No

Previous Prime: 7027

Next Prime: 7039

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13 × 541

Divisors: 1, 13, 541, 7033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101111001

Octal: 15571

Duodecimal: 40A1

Hexadecimal: 1b79

Square: 49463089

Square Root: 83.86298349093002

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

Number of distinct values of multinomial coefficients ( n / (p1, p2, p3, ...) ) where (p1, p2, p3, ...) runs over all partitions of n. A70289

Numbers k such that 3·k! + 1 is prime. A76679

Locations of the increasing peak values of the integral of the absolute value of the Riemann ζ function between successive zeros on the critical line. This can also be defined in terms of the Z function; if t and s are successive zeros of a renormalized Z function, z(x) = Z(2 π x/log(2)), then take the integral between t and s of |z(x)|. For each successively higher value of this integral, the corresponding term of the integer sequence is r = (t+s)/2 rounded to the nearest integer. A117538

Odd interprimes divisible by 13. A124619

The 180-degree spoke (or ray) of a hexagonal spiral of Ulam. A244806

Nearest integer to locations of increasingly large peaks of abs(ζ(0.5 + i·2*(π/log(2))*t)) for increasing real t. A117536

Numbers k such that k² == 2 (mod 23²). A156849

Somos's sequence {a(9,n)} defined in comment in A018896: a(0)= a(1) = ... = a(19) = 1; for n >= 20, a(n) = (a(n-1)*a(n-19) + a(n-10)²)/a(n-20). A271839

a(1) = 1; for n > 1, a(n) = 4·a(A252463(n)) + (n mod 4). A292384

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is not a part and the number of numbers having multiplicity > 1 is a part. A241415