Properties of the Number 19179

Nineteen Thousand One Hundred Seventy-Nine

Basics

Value: 19178 → 19179 → 19180

Parity: odd

Prime: No

Previous Prime: 19163

Next Prime: 19181

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2131

Divisors: 1, 3, 9, 2131, 6393, 19179

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101011101011

Octal: 45353

Duodecimal: B123

Hexadecimal: 4aeb

Square: 367834041

Square Root: 138.4882666510055

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 2, read by rows. A157153

a(1)=1, then a(n)=2·a(n-1) if n is prime, a(n)=2·a(n-1)+1 if n not prime. A118255

Permutation of natural numbers: a(n) = A245707(A245608(n)). A245706

Number of integer partitions of n with all equal lengths of maximal runs of consecutive parts decreasing by 1 but not by 0. A384904

Numbers k such that the concatenation of 2^k - 1 and 2^{k - 1} - 1 is prime. A301806

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having one, two, three, four, six or seven distinct values for every i,j,k<=n. A211741

Number of subsets of {1,...,n} containing n and having at least one set partition into 6 blocks with equal element sum. A248115

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316213

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316218

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318064