Properties of the Number 73856

Seventy-Three Thousand Eight Hundred Fifty-Six

Basics

Value: 73855 → 73856 → 73857

Parity: even

Prime: No

Previous Prime: 73849

Next Prime: 73859

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 577

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 577, 1154

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10010000010000000

Octal: 220200

Duodecimal: 368A8

Hexadecimal: 12080

Square: 5454708736

Square Root: 271.7646040234085

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. A275504

a(n+1) = 4*(a(n)+a(n-1)) for n>1, a(1)=1, a(2)=6. A108051

Expansion of (1 + 6·x - 12·x² - 8·x³)/(1 - 24·x² + 16·x⁴). A164584

Number of (n+2) X (7+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252718

Number of nX7 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. A275503

a(1) = 1, then the smallest n-th power not included earlier such that each partial sum is a prime. A73856

Squares s such that first m and last m digits of the binary representation are perfect positive squares written in binary, and m = floor(binaryLength(s)/2), where binaryLength(s) = A070939(s) is the binary length of s. A226836

Number of nX5 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317899