Properties of the Number 4065

Four Thousand Sixty-Five

Basics

Value: 4064 → 4065 → 4066

Parity: odd

Prime: No

Previous Prime: 4057

Next Prime: 4073

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 271

Divisors: 1, 3, 5, 15, 271, 813, 1355, 4065

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111111100001

Octal: 7741

Duodecimal: 2429

Hexadecimal: fe1

Square: 16524225

Square Root: 63.75735251718032

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

Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29470

a(n) = 4·n² - 9·n + 6. A54556

Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 3·T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + T(n-1,k+1) for k >= 1. A126953

a(n) = n*(9·n + 1)/2. A22267

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..3 nXk array. A218638

Numbers k such that 3·2^k + 35 is prime. A59759

Fundamental discriminants of real quadratic number fields with class number 6. A218156

n sets a new record for number of iterations to reach 1 in the juggler sequence problem. A94679

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..3 nXk array. A218242