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Properties of the Number 60344

Sixty Thousand Three Hundred Forty-Four

Basics

Value: 60343 → 60344 → 60345

Parity: even

Prime: No

Previous Prime: 60343

Next Prime: 60353

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 3 × 19 × 397

Divisors: 1, 2, 4, 8, 19, 38, 76, 152, 397, 794

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101110111000

Octal: 165670

Duodecimal: 2AB08

Hexadecimal: ebb8

Square: 3641398336

Square Root: 245.65015774470817

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

Number of length n binary words which contain 00 and 01 and 10 and 11 as (possibly overlapping) contiguous subsequences. A242206
T(n,k)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row, with rows in lexicographically nondecreasing order. A222159
Locations of record values in A119323, interleaved with the record values. A119324
Number of length n+5 0..1 arrays with no three disjoint pairs in any consecutive six terms having the same sum. A248441
Number of n X 4 arrays with each row a permutation of 1..4 having at least as many downsteps as the preceding row, with rows in lexicographically nondecreasing order. A222156
For n >= 2, let Nn denote the set of all unipotent upper-triangular real n X n matrices A such that for every k=1,2,...,n-1 the minor of A with rows 1,2,...,k and columns n-k+1,...,n is nonzero. a(n) is the number of connected components of Nn. A60344
Define a(1) = A119323(1), then a(n+1) = A119323(i) > a(n) with the least i. A119325
Number of (n+1)X3 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. A205653