Properties of the Number 30649

Thirty Thousand Six Hundred Forty-Nine

Basics

Value: 30648 → 30649 → 30650

Parity: odd

Prime: Yes

Previous Prime: 30643

Next Prime: 30661

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 30649

Divisors: 1, 30649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110111001

Octal: 73671

Duodecimal: 158A1

Hexadecimal: 77b9

Square: 939361201

Square Root: 175.06855799943062

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

Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1). A54803

G.f. A(x) satisfies: A(x) = 1 / (1 + x - 2·x * A(2·x)). A348901

Irregular triangle read by rows: T(n,k) (n>=2, k>=1) is the number of strong digraphs on n nodes with k descents. A339807

Number of ways to fill a Young diagram with positive integers summing to n such that the rows are weakly decreasing and the columns are weakly increasing. A323580

Numbers k that can be written as the sum of a perfect square and a factorial in at least 2 distinct ways. A358071

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood. A272558

Primorial base emirps: prime numbers whose primorial base reversal is a different prime. A333425

Dimensions of multiples of minimal representation of complex Lie algebra E7. A30649

Number of n X 5 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229425