Properties of the Number 80052

Eighty Thousand Fifty-Two

Basics

Value: 80051 → 80052 → 80053

Parity: even

Prime: No

Previous Prime: 80051

Next Prime: 80071

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 953

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011100010110100

Octal: 234264

Duodecimal: 3A3B0

Hexadecimal: 138b4

Square: 6408322704

Square Root: 282.93462142339524

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

The smallest start of a run of exactly n consecutive positive integers for which the number of exponential divisors of their factorials is strictly increasing. A388845

a(n) = prime(n)*prime(n+1)*prime(n+2) - prime(n+3)². A135734

Coefficients of expansion of (1-x)/(1-2·x) in powers of x. A11782

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Number of permutations on {1,...,n} containing any given pattern α in the symmetric group S₃. A56986

Value of n such that for any value of n, πⁿ is closer to its nearest integer than any value of π^k for 1 <= k < n. A80052

Number of 3-good permutations on {1,2,...,n}, i.e., permutations that contain each of the six patterns {123, 132, 213, 231, 312, 321} as a subsequence. A124188

a(n) = s!/(s-n)! where s = (n*(n+1)/2)+1. A129893

Triangle read by rows: T(n,k) is the number of permutations p of [n] in which the length of the longest initial segment avoiding the 123-pattern is equal to k. A92583

Triangle read by rows: T(n,k) is the number of permutations p of [n] in which the length of the longest initial segment avoiding the 123-, the 132- and the 231-pattern is equal to k. A94112