Properties of the Number 18353

Eighteen Thousand Three Hundred Fifty-Three

Basics

Value: 18352 → 18353 → 18354

Parity: odd

Prime: Yes

Previous Prime: 18341

Next Prime: 18367

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 18353

Divisors: 1, 18353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011110110001

Octal: 43661

Duodecimal: A755

Hexadecimal: 47b1

Square: 336832609

Square Root: 135.47324459095236

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 read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k nonincreasing even cycles (0<=k<=floor(n/4)). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be even if it has an even number of entries. For example, the permutation (1528)(347)(6) has 1 nonincreasing even cycles. A186769

Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6·n. A52356

Father primes of order 11. A136080

Numbers k such that the digit sum of 167^k is divisible by k. A175552

Intersection of A251964, A252280 and A252281. A252283

Expansion of (1-sqrt(1-4*(x+x²)²))/(2*(x+x²)²). A256169

Prime numbers p such that π(p) + 2·p is a square. A104783

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 13: primes in A333640. A146358

Number of (w,x,y,z) with all terms in {1,...,n} and w·x>y·z+2. A212056

Lesser of consecutive primes whose average is an oblong number. A242383