Properties of the Number 33417

Thirty-Three Thousand Four Hundred Seventeen

Basics

Value: 33416 → 33417 → 33418

Parity: odd

Prime: No

Previous Prime: 33413

Next Prime: 33427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 47 × 79

Divisors: 1, 3, 9, 47, 79, 141, 237, 423, 711, 3713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001010001001

Octal: 101211

Duodecimal: 17409

Hexadecimal: 8289

Square: 1116695889

Square Root: 182.8031728389855

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

Number of nX4 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of elements above it, modulo 3. A239026

Number of (n+1) X (3+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries. A251144

a(n) = (n - 1) * ∑_k=2..n A000010(k). A385682

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, 0, 1), (1, 1, -1)}. A148788

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. A157152

T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3. A239030

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries. A251149

a(n) = floor(97/n). A33417