Properties of the Number 10033

Ten Thousand Thirty-Three

Basics

Value: 10032 → 10033 → 10034

Parity: odd

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 79 × 127

Divisors: 1, 79, 127, 10033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100110001

Octal: 23461

Duodecimal: 5981

Hexadecimal: 2731

Square: 100661089

Square Root: 100.16486409914407

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 integer partitions of n such that it is not possible to choose a different prime factor of each part. A370593

a(n) = 2·a(n-1) + 5·a(n-2), with a(0) = a(1) = 1. A2533

Golden semiprimes: a(n)=p·q and abs(p*φ-q)<1, where φ = golden ratio = (1+sqrt(5))/2. A108540

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251137

a(n) = 5ⁿ * T(n,7/5) where T is the Chebyshev polynomial of the first kind. A99141

Floor(sqrt(3·2ⁿ)). A221718

Centered 19-gonal numbers. A69132

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of (1-(k+1)*x) / (1-2*(k+1)*x+((k-1)*x)²). A333988

Semiprimes whose prime factors are of equal binary length and which differ from each other in exactly two bit positions. A261074

The least nonsquare number s having exactly n twos in the periodic part of the continued fraction of sqrt(s). A206582