Properties of the Number 19457

Nineteen Thousand Four Hundred Fifty-Seven

Basics

Value: 19456 → 19457 → 19458

Parity: odd

Prime: Yes

Previous Prime: 19447

Next Prime: 19463

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 19457

Divisors: 1, 19457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110000000001

Octal: 46001

Duodecimal: B315

Hexadecimal: 4c01

Square: 378574849

Square Root: 139.48835076808385

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662]. A78857

Primes of the form 512·k+1. A76339

Primes of the form 128·k + 1. A208177

Primes of the form 256·k + 1. A208178

Odd prime factors of generalized Fermat numbers of the form 5^{2^m} + 1 with m >= 0. A273946

A sequence of sorted odd primes 3 = p₁ < p₂ < ... < p_m such that p_i-2 divides the product p₁*p₂*...*p_i-1 of the earlier primes and each prime factor of p_i-1 is a prime factor of twice the product. A1259

Exponential (or binomial) convolution of A000032 (Lucas) with itself, divided by 2. A203579

Primes of the form 384·k + 257. A229856

a(n) = 2·a(n-1) + 2ⁿ⁺¹ - 1, a(0) = 0. A392083

The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists. A78874