Properties of the Number 3778

Three Thousand Seven Hundred Seventy-Eight

Basics

Value: 3777 → 3778 → 3779

Parity: even

Prime: No

Previous Prime: 3769

Next Prime: 3779

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 1889

Divisors: 1, 2, 1889, 3778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011000010

Octal: 7302

Duodecimal: 222A

Hexadecimal: ec2

Square: 14273284

Square Root: 61.465437442517235

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 of log-concave compositions (ordered partitions) of n. A69916

Number of integer partitions of n into an odd number of parts, the greatest of which is odd. A340385

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1. A264379

McKay-Thompson series of class 4C for the Monster group. A7248

Expansion of 16/λ(z) in powers of nome q = exp(π*i·z). A29845

Consider the nontrivial zeros of the Riemann ζ function on the critical line 1/2 + i·t and the gap, or first difference, between two consecutive such zeros; a(n) is the lesser of the two zeros at a place where the gap attains a new minimum. A254297

Number of permutations of the multiset {1,1,2,2,3,3,...,n+1,n+1} avoiding the permutation patterns {132, 231, 2134}. A181510

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261380

4th power analog of Keith numbers. A281915

Number of ways to write n as an ordered sum of 4 squarefree numbers. A341064