Properties of the Number 3417

Three Thousand Four Hundred Seventeen

Basics

Value: 3416 → 3417 → 3418

Parity: odd

Prime: No

Previous Prime: 3413

Next Prime: 3433

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 67

Divisors: 1, 3, 17, 51, 67, 201, 1139, 3417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011001

Octal: 6531

Duodecimal: 1B89

Hexadecimal: d59

Square: 11675889

Square Root: 58.45511098270193

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

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

Expansion of 1/((1-x)⁴*(1+x)). A2623

Multiples of 17 containing a 17 in their decimal representation. A121037

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2). A23855

Partial sums of A002620. A173196

Number of integer partitions of n with (1) as many odd parts as odd conjugate parts and (2) as many even parts as even conjugate parts. A351976

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209115

a(n) = first term which reduces to an unchanging value in n steps via repeated interpretation of a(n) as a base b+1 number where b is the largest digit of a(n). A91049

a(n) = ceiling( ∑_i=1..n-1 a(i)/5 ), a(1)=1. A120170