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Properties of the Number 48677

Forty-Eight Thousand Six Hundred Seventy-Seven

Basics

Value: 48676 → 48677 → 48678

Parity: odd

Prime: Yes

Previous Prime: 48673

Next Prime: 48679

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 48677

Divisors: 1, 48677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 1011111000100101

Octal: 137045

Duodecimal: 24205

Hexadecimal: be25

Square: 2369450329

Square Root: 220.62864727863425

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

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219852
Primes from merging of 5 successive digits in decimal expansion of Euler-Mascheroni constant. A198779
Primes from merging of 5 successive digits in decimal expansion of the Euler-Mascheroni Constant. A104939
a(n) = p is the smallest prime introducing a consecutive prime-difference pattern as follows: [2,2n,2], i.e., [p, p+2, p+2+2n, p+2+2n+2] are consecutive primes. Increasing middle prime gap in the immediate neighborhood of two small gaps(=2); a(n) = 0 if no such pattern exists. A82512
Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2·k and k=1 to n-3, where T(i,k) satisfies ∑q=1..n Bell(q) = 1 + C(n,2) + ∑k=1..n-3i=1..2·k T(i,k) * C(n-k-2,1). A102735
Primes of the form 4n3+9. A201121
Primes of the form 8n2 + 5. A201612
Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 5 array. A219849
Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 5Xn array. A219856
Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17. A241048