Properties of the Number 67975

Sixty-Seven Thousand Nine Hundred Seventy-Five

Basics

Value: 67974 → 67975 → 67976

Parity: odd

Prime: No

Previous Prime: 67967

Next Prime: 67979

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 2719

Divisors: 1, 5, 25, 2719, 13595, 67975

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100110000111

Octal: 204607

Duodecimal: 33407

Hexadecimal: 10987

Square: 4620600625

Square Root: 260.7201564896738

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

The function A(x) = x+(1/2)*x²-(1/16)*x⁴... = ∑_{k >= 0} x^k*a(k)/A381670(k) satisfies the functional equation: x*(A(x)+1) = A(A(x)). A381669

Solution of the complementary equation a(n) = a(n-1) + a(n-3) + a(n-4) + b(n-2), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4, b(0) = 5, b(1) = 6, b(2) = 7, b(3) = 8, and (a(n)) and (b(n)) are increasing complementary sequences. A295756

a(n+1) is the smallest number > a(n) such that the digits of a(n)² are all (with multiplicity) contained in the digits of a(n+1)², with a(0)=2. A67975