Properties of the Number 14021

Fourteen Thousand Twenty-One

Basics

Value: 14020 → 14021 → 14022

Parity: odd

Prime: No

Previous Prime: 14011

Next Prime: 14029

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 7 × 2003

Divisors: 1, 7, 2003, 14021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011011000101

Octal: 33305

Duodecimal: 8145

Hexadecimal: 36c5

Square: 196588441

Square Root: 118.41030360572512

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 integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884

a(n) = (-n³ + 9n² - 5n + 3)/3. A161702

Numbers n such that n¹⁰²⁴ + (n+1)¹⁰²⁴ is prime. A274234

Number of integer partitions with sum < n whose distinct parts cannot be linearly combined using all positive coefficients to obtain n. A365323

Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}. A212757

Let f(x) = 1 -x³+ ∑_j>=2 (x^{2^j}-x^{1+2^j}). Then a(n) is n times the coefficient of xⁿ in the expansion of log(f(x)). A271726

Replacing each digit d in decimal expansion of n with d² yields a prime at each step when done recursively three times. A316604

Numbers k such that both k and k+2 are de Polignac numbers (A006285). A330284

Generalized sum of divisors function: third diagonal of A060044. A60045

Number of third differences of arrays of length 5 of numbers in 0..n. A228261