Properties of the Number 3565

Three Thousand Five Hundred Sixty-Five

Basics

Value: 3564 → 3565 → 3566

Parity: odd

Prime: No

Previous Prime: 3559

Next Prime: 3571

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 23 × 31

Divisors: 1, 5, 23, 31, 115, 155, 713, 3565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111101101

Octal: 6755

Duodecimal: 2091

Hexadecimal: ded

Square: 12709225

Square Root: 59.70762095411272

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

Integers of the form m*(m + 6)/7. A274978

Generalized 15-gonal (or pentadecagonal) numbers: n*(13·n - 11)/2, n = 0,+1,-1,+2,-2,+3,-3, ... A277082

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

a(n) = (2·n - 1)*(7·n² - 7·n + 6)/6. A63490

Number of ways to split a strict integer partition of n into consecutive subsequences with weakly decreasing sums. A319794

G.f.: (1+x⁸+x⁹+x¹⁰+x¹⁸)/((1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A97851

a(n) = 2·n² + n - 5. A100040

16-gonal (or hexadecagonal) numbers: a(n) = n*(7·n-6). A51868

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nXk array. A218592

Odd interprimes not divisible by 3. A72573