Properties of the Number 67122

Sixty-Seven Thousand One Hundred Twenty-Two

Basics

Value: 67121 → 67122 → 67123

Parity: even

Prime: No

Previous Prime: 67121

Next Prime: 67129

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 11 × 113

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011000110010

Octal: 203062

Duodecimal: 32A16

Hexadecimal: 10632

Square: 4505362884

Square Root: 259.0791384886093

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

Three-column table read by rows: Primitive distinct triples that have the same value of φ, σ, and τ. A322689

Three-column table read by rows: Triples that have the same value of φ, σ, and τ. A322679

Row 6 of square array defined in A047662. A47663

G.f. is (1-S)/(1+S), where S = g.f. for A000084. A58756

The 3rd Witt transform of A000027. A147611

Numbers n such that φ(n)=d₁!!*d₂!!*...*d_k!! where d₁ d₂ ... d_k is the decimal expansion of n. A139408

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k)⁷. A392385

Square array a(n,k) read by antidiagonals: a(n,1)=n, a(1,k)=k, a(n,k)=a(n-1,k-1)+a(n-1,k)+a(n,k-1)+1. A47662

Floor[X/Y] where X = concatenation of first n odd numbers in increasing order (A019519) and Y = their sum (A000290 = n²). A67122