Properties of the Number 32104

Thirty-Two Thousand One Hundred Four

Basics

Value: 32103 → 32104 → 32105

Parity: even

Prime: No

Previous Prime: 32099

Next Prime: 32117

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 4013

Divisors: 1, 2, 4, 8, 4013, 8026, 16052, 32104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110101101000

Octal: 76550

Duodecimal: 166B4

Hexadecimal: 7d68

Square: 1030666816

Square Root: 179.17589123540031

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 1, read by rows. A157147

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s. A296974

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) + b(n); see Comments. A305330

a(1) = 1; a(n+1) = -∑_d∣n a(n/d) * a(d). A325303

Expansion of (1-4·x)/(1-x*(1-x)³). A119306

a(n) = 4ⁿ*(n/4 + binomial(n-1/2, -1/2)). A241478

Numbers n with the property that n is an anagram of the digits of the distinct prime factors of n. A96595

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252298

White to move: King and Queen vs. King: Number of positions with mate in n. A274684

Number of nX3 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s. A296969