Properties of the Number 82880

Eighty-Two Thousand Eight Hundred Eighty

Basics

Value: 82879 → 82880 → 82881

Parity: even

Prime: No

Previous Prime: 82847

Next Prime: 82883

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 5 × 7 × 37

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100001111000000

Octal: 241700

Duodecimal: 3BB68

Hexadecimal: 143c0

Square: 6869094400

Square Root: 287.8888674471453

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

Number T(n,k) of defective (binary) heaps on n elements with k defects; triangle T(n,k), n>=0, 0<=k<=max(0,n-1), read by rows. A306343

Glaisher's function G(n) (18 squares version). A2609

a(n) = 81·n² - 2·n. A157507

Number of defective (binary) heaps on n elements with exactly three defects. A323959

Number of defective (binary) heaps on n elements with exactly five defects. A323961

Smallest integer that is the sum of a prime and the square of a prime in n or more ways. A381333

θ series of laminated lattice LAMBDA₁₁^min. A6910

Square root of n has the same nonzero digit in each of the first 4 places to the right of the decimal point. A73585

Smallest integer that is the sum of a prime and the square of a prime in exactly n ways. A381334

Largest value of A075860(j) when j runs through composite numbers between n-th and (n+1)-th primes. That is, the largest fixed-point[=prime] reached by iteration of A008472(=sum of prime factors) initiated with composite values between two consecutive primes. A82880