Properties of the Number 84047

Eighty-Four Thousand Forty-Seven

Basics

Value: 84046 → 84047 → 84048

Parity: odd

Prime: Yes

Previous Prime: 84017

Next Prime: 84053

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 84047

Divisors: 1, 84047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001001111

Octal: 244117

Duodecimal: 4077B

Hexadecimal: 1484f

Square: 7063898209

Square Root: 289.90860628825766

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

Smaller of two consecutive primes whose sum is a square. A61275

a(n) = prime(2ⁿ + 1). A51439

Lesser of consecutive primes whose sum is a perfect power (A001597). A91624

Primes of the form 16·k-1 such that 4·k-1 and 8·k-1 are also primes. A101793

Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6). A78965

Numbers m such that Conv(b,m) = b has a unique nontrivial solution (b = 0 and b = 1 are considered trivial solutions). Here, Conv(b,m) denotes the limit of b^^t (mod m) as t goes to infinity. A347561

Smaller member of a prime pair (n, n+6) with a square sum. A86776

Smallest prime p such that p - n is an n-th power, or 0 if no such number exists; i.e., smallest prime of the form kⁿ + n. A84047

Molien series for 16-dimensional group of structure 2⁴.O₄⁺(F₂) = 2⁴.(S₃ X S₃).2 and order 1152, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4) containing the all-ones vector. A92203