Properties of the Number 83074

Eighty-Three Thousand Seventy-Four

Basics

Value: 83073 → 83074 → 83075

Parity: even

Prime: No

Previous Prime: 83071

Next Prime: 83077

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 73 × 569

Divisors: 1, 2, 73, 146, 569, 1138, 41537, 83074

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010000010

Octal: 242202

Duodecimal: 400AA

Hexadecimal: 14482

Square: 6901289476

Square Root: 288.22560607968194

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

Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of even length. A97592

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 nXk array. A217637

Number of k <= P(n) such that rad(k) | P(n), where rad(n) = A007947(n) and P(n) = A002110(n). A363061

Number of permutations of [n] with exactly one increasing run of even length. A317281

Number of nX5 arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 nX5 array. A217634

Number of n X n arrays of the minimum value of corresponding elements and their horizontal and vertical neighbors in a random 0..1 n X n array. A217630

Number of numbers <= n whose set of prime factors is a subset of the set of prime factors of n. A10846

a(n) = n³ - n² - n - 1. A83074

a(n) = smallest prime(n)-smooth number k such that r(k) >= r(P(n+1)), where r(n) = A010846(n) and P(n) = A002110(n). A363794