Properties of the Number 18947

Eighteen Thousand Nine Hundred Forty-Seven

Basics

Value: 18946 → 18947 → 18948

Parity: odd

Prime: Yes

Previous Prime: 18919

Next Prime: 18959

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 18947

Divisors: 1, 18947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000000011

Octal: 45003

Duodecimal: AB6B

Hexadecimal: 4a03

Square: 358988809

Square Root: 137.648102057384

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

Primes p such that φ(φ(p-1)+1) = φ(φ(p-2)+1). A271659

Smaller term of closest safe prime pairs. A59323

Beginning with 2, primes of the form: least multiple of the previous term followed by a 7. Beginning with 2, a(n) is the least prime of the form k·a(n-1)*10 +7. A112783

Primes q (except greater of twin primes) with result 2 under iterations of {r mod (max prime p < r)} starting at r = q. A175080

Hankel transform of a(n) is A006720(n+1). Hankel transform of a(n+1) is A006720(n+3). A254316

Non-palindromic balanced primes in base 2. A256081

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A282909

Primes of a056240-type 3. A300359

Sum over all partitions of n into distinct parts of the LCM of the parts. A306956

Triangle read by rows where T(n,k) is the number of non-isomorphic k-element multisets of nonempty multisets of nonempty multisets (all finite). A330472