Properties of the Number 3017

Three Thousand Seventeen

Basics

Value: 3016 → 3017 → 3018

Parity: odd

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 431

Divisors: 1, 7, 431, 3017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111001001

Octal: 5711

Duodecimal: 18B5

Hexadecimal: bc9

Square: 9102289

Square Root: 54.92722457943783

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 polynomial symmetric functions of matrix of order n under separate row and column permutations. A7716

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Sum of first k numbers in column k of the natural number array A000027; by antidiagonals. A185787

Array read by antidiagonals upwards where A(n, k) is the number of non-isomorphic multiset partitions of weight n with k levels of brackets. A306186

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Expansion of 1/((1-x)⁷ - x⁷). A49017

Number of ordered pairs (i,j) with |i| + |j| <= n and gcd(i,j) <= 1. A100449

a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46256

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2. A274895

Number of non-isomorphic periodic multiset partitions of weight n. A303547