Properties of the Number 30698

Thirty Thousand Six Hundred Ninety-Eight

Basics

Value: 30697 → 30698 → 30699

Parity: even

Prime: No

Previous Prime: 30697

Next Prime: 30703

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 15349

Divisors: 1, 2, 15349, 30698

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011111101010

Octal: 73752

Duodecimal: 15922

Hexadecimal: 77ea

Square: 942367204

Square Root: 175.20844728494114

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 (n+1)X(k+1) 0..3 arrays with the maximum of every 2X2 subblock equal. A236949

Triangle T(n,k) read by rows of partially ordered sets ("posets") with n unlabeled nodes and k maximal elements (0 <= k <= n). A65066

Number of (n+1) X (1+1) 0..3 arrays with the maximum of every 2 X 2 subblock equal. A236942

Number of (n+1)X(3+1) 0..3 arrays with the maximum of every 2X2 subblock equal. A236944

Values of n such that prime(n) does not divide any 10-digit pandigital number (i.e. any value in A050278). A292703

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (0, -1, 1), (0, 1, 1), (1, 1, 0)}. A150482

Cube root of A030697. A30698

a(n) = n⁹ + 8·n⁸ + 43·n⁷ + 159·n⁶ + 452·n⁵ + 997·n⁴ + 1725·n³ + 2272·n² + 1990·n + 21. A270873

Number of nX4 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281984