Properties of the Number 68607

Sixty-Eight Thousand Six Hundred Seven

Basics

Value: 68606 → 68607 → 68608

Parity: odd

Prime: No

Previous Prime: 68597

Next Prime: 68611

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 11 ²

Divisors: 1, 3, 7, 9, 11, 21, 27, 33, 63, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000101111111111

Octal: 205777

Duodecimal: 33853

Hexadecimal: 10bff

Square: 4706920449

Square Root: 261.9293797953945

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

Pairs of primitive deficient numbers having the same value of σ(k)/k, listed by increasing value of the larger of the two k values. A212610

Row sums of A075652. A75650

E.g.f. A(x) satisfies: A(x) = exp( Integral A(x)^1/2 * Integral 1/A(x)^3/2 dx dx ). A258659

a(n) = (2·n - 3)n². A15238

Odd numbers k that divide φ(k)*σ(k). A15706

Numbers k for which the quotient q(k)=(k+rev(k))/abs(k-rev(k)) is an integer. A87993

a(n) = partitions(n)*partitions(n+1). A90982

a(1) = 1, then partial products of ∏_n>=1 (p(n)/p(n-1)*p(n)/p(n-1)) = 1·1*1*(2)*(2)*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*...*; p = partition numbers, A000041 starting (1, 2, 3, 5, ...). A171646

Primitive deficient numbers n having a companion m > n such that σ(n)/n = σ(m)/m (ordered by increasing (smallest possible) m). A212611

Unordered even-degree bilabeled increasing trees on 2n+1 nodes. A261000