Properties of the Number 30690

Thirty Thousand Six Hundred Ninety

Basics

Value: 30689 → 30690 → 30691

Parity: even

Prime: No

Previous Prime: 30689

Next Prime: 30697

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 31

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011111100010

Octal: 73742

Duodecimal: 15916

Hexadecimal: 77e2

Square: 941876100

Square Root: 175.1856158478772

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

θ series of the 12-dimensional lattice of hyper-roots A₂(SU(3)). A290654

Numbers k such that 2·k+1, 4·k+1, 8·k+1 and 16·k+1 are primes. A124412

G.f. satisfies: A(x) = 1 + x·A(x)² / (A(I·x) * A(-I·x)). A212527

a(n) = 3·n*(2ⁿ - 1). A317404

Numbers·such that there exist three integers 0<x<=y, z>0 and w>0 such that σ(x)³ = σ(y)³ = x³ + y³ + z³ + w³. A385397

a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ). A11942

Expansion of ∏_k>0 (1 - x^k)^{2^(k-1}) in powers of x. A200751

a(n) is the position of the first occurrence of n³ in the concatenation of the positive integers in decimal representation. A290787

Numbers m such that A188999(A034448(m)) = k·m for some k, where A034448 and A188999 are respectively the unitary and the bi-unitary σ function. A369205

Numbers k whose decimal representation, read as a base-22 value and divided by k, yields an integer. A32575