Properties of the Number 77213

Seventy-Seven Thousand Two Hundred Thirteen

Basics

Value: 77212 → 77213 → 77214

Parity: odd

Prime: Yes

Previous Prime: 77201

Next Prime: 77237

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 77213

Divisors: 1, 77213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110110011101

Octal: 226635

Duodecimal: 38825

Hexadecimal: 12d9d

Square: 5961847369

Square Root: 277.8722728161268

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

Numbers k such that (14^k - 5^k)/9 is prime. A128350

Primes p with P(p-1) also prime, where P(.) is the partition function (A000041). A234569

Number of distinct factorizations of 105·2ⁿ. A93802

Prime p3 of the sequence A164063: a^b - c^d = p1 (A164063), where a, b, c, d are primes and a + b + c + d = p2 (A164064), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime. A164065

Greatest number (in decimal representation) with n nonprime substrings in base-5 representation (substrings with leading zeros are considered to be nonprime). A217115

Smallest prime in kx³+x+4 is prime. A114368

a(1) = 2, a(n+1) is the smallest prime greater than n·a(n). A77213