Properties of the Number 67541

Sixty-Seven Thousand Five Hundred Forty-One

Basics

Value: 67540 → 67541 → 67542

Parity: odd

Prime: No

Previous Prime: 67537

Next Prime: 67547

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 29 × 137

Divisors: 1, 17, 29, 137, 493, 2329, 3973, 67541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011111010101

Octal: 203725

Duodecimal: 33105

Hexadecimal: 107d5

Square: 4561786681

Square Root: 259.88651369395836

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 polyominoes of 4n cells with both horizontal and vertical symmetries, for which the 180-degree rotational symmetry has an axis that coincides with a vertex of a square of the underlying matrix, but without 90-degree rotational symmetry. A351191

Triangle, read by rows, where T(n,k) is defined for n>=1, k=1..2·n-1, by a formula analogous to the second-order Eulerian triangle A008517. A219120

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+84847)² = y². A201917

Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298714

E.g.f. A(x) satisfies A(x) = exp(x / (1 - x·A(x))²) / (1 - x·A(x)). A380719

a(n) = φ(n*(n+1)/2)/φ(n) where φ is the Euler totient function A000010(n). A67541

Lexicographically earliest sequence of distinct positive terms such that for any n > 1 and any prime number p, if p divides a(n) then the p-adic valuation of a(n) is one plus the p-adic valuation of a(n-1). A297409