Properties of the Number 48984

Forty-Eight Thousand Nine Hundred Eighty-Four

Basics

Value: 48983 → 48984 → 48985

Parity: even

Prime: No

Previous Prime: 48973

Next Prime: 48989

Digit Sum: 33

Digital Root: 6

Palindrome: Yes

Factorization: 2 ³ × 3 × 13 × 157

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111101011000

Octal: 137530

Duodecimal: 24420

Hexadecimal: bf58

Square: 2399432256

Square Root: 221.3232929449587

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

Coefficients in the expansion ∏_n>=1 (1-q^2n-1)²/(1-q²ⁿ)². A274621

Number of bipartitions of n wherein odd parts are distinct (and even parts are unrestricted). A273225

Palindromes with exactly 6 prime factors (counted with multiplicity). A46332

Length of the long leg in the unique primitive Pythagorean triple whose inradius is A002378(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A384288

a(1)=7, a(n_even)=(a(n-1)²-1)/2; a(n_odd)=a(n-1)+1. A76602

Records of A038804: (Smallest prime > 10ⁿ) - (largest prime < 10ⁿ). A331834

From solution to x = tan x (next term is not an integer). A59367

Numbers that are both palindromes (A002113) and terms of A072389. A346919

As n runs through composite numbers, a(n) = number of nonprime d < n such that gcd(d,n) = 1. A48984