Properties of the Number 13744

Thirteen Thousand Seven Hundred Forty-Four

Basics

Value: 13743 → 13744 → 13745

Parity: even

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 859

Divisors: 1, 2, 4, 8, 16, 859, 1718, 3436, 6872, 13744

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110110000

Octal: 32660

Duodecimal: 7B54

Hexadecimal: 35b0

Square: 188897536

Square Root: 117.23480711802276

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

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Number of terms in n-th derivative of a function composed with itself 3 times. A22811

Second differences of Bell numbers. A11965

Difference array of Bell numbers A000110 read by antidiagonals. A106436

Minimal exponents m such that the fractional part of (101/100)^m obtains a minimum (when starting with m=1). A153669

Triangle read by rows: Aitken's array (A011971) but with a leading diagonal before it given by the Bell numbers (A000110), 1, 1, 2, 5, 15, 52, ... A95149

Number of integer partitions of n such that every orderless pair of distinct parts has a different sum. A325857

Mirror image of the Bell triangle A011971, which is also called the Pierce triangle or Aitken's array. A123346

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2. A214025

Triangle T(n,k) in which n-th row lists in increasing order all positive integers with a representation as totally balanced 2n digit binary string without totally balanced proper prefixes such that all consecutive totally balanced substrings are in nondecreasing order; n>=1, 1<=k<=A000081(n). A216648