Properties of the Number 67409

Sixty-Seven Thousand Four Hundred Nine

Basics

Value: 67408 → 67409 → 67410

Parity: odd

Prime: Yes

Previous Prime: 67399

Next Prime: 67411

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 67409

Divisors: 1, 67409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011101010001

Octal: 203521

Duodecimal: 33015

Hexadecimal: 10751

Square: 4543973281

Square Root: 259.6324324887012

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 2's in the last section of the set of partitions of n. A182712

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250994

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

a(n) is smallest prime > 2·a(n-1), a(1) = 13. A65546

a(1) = 1, a(n+1) = least prime p > a(n) such that a(n) + p is a square. A178825

Number of 2's in all partitions of 2n+1 that do not contain 1 as a part. A182717

Primes p such that p+2, p*(p+2) + 12 and p*(p+2) + 14 are also prime. A130736

a(n) = b_f(n) where f is the 2-periodic sequence f(k) = (-1)^k (see comments). A186265

Number of (n+1)X(5+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250991