Properties of the Number 30608

Thirty Thousand Six Hundred Eight

Basics

Value: 30607 → 30608 → 30609

Parity: even

Prime: No

Previous Prime: 30593

Next Prime: 30631

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 1913

Divisors: 1, 2, 4, 8, 16, 1913, 3826, 7652, 15304, 30608

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110010000

Octal: 73620

Duodecimal: 15868

Hexadecimal: 7790

Square: 936849664

Square Root: 174.9514218290323

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 lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor. A194778

Numbers n such that p(7n) is prime, where p(n) is the number of partitions of n. A114167

Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers. A23192

High temperature series in v² = tanh(J/kT)² for spin-1/2 Ising partition function on 4D simple cubic lattice, divided by 2/(1+v)⁴. A30044

Euler transform of A373217. A373298

Numerators of continued fraction convergents to sqrt(759). A42462

Number of n-fold branched coverings of the Klein bottle with r cyclic branch points (n,r>=1); array read by downward antidiagonals. A113950

θ series of A*_15 lattice. A23927

Number of lower triangles of an (n+6)X(n+6) 0..4 array with new values introduced in row major order 0..4 and no element unequal to more than one horizontal or vertical neighbor. A194774

Least number m such that there exist exactly n pairs of numbers (a,b), 0 < a < b < m, such that a+b, a+m, and b+m are all squares. A246766