Properties of the Number 3978

Three Thousand Nine Hundred Seventy-Eight

Basics

Value: 3977 → 3978 → 3979

Parity: even

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 × 17

Divisors: 1, 2, 3, 6, 9, 13, 17, 18, 26, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110001010

Octal: 7612

Duodecimal: 2376

Hexadecimal: f8a

Square: 15824484

Square Root: 63.071388124885914

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,m) = number of 1..m integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171275

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x). A97030

Number T(n,k) of entries in the k-th cycles of all permutations of {1,2,..,n}; each cycle is written with the smallest element first and cycles are arranged in increasing order of their first elements. A185105

No-3-in-line problem: number of inequivalent ways of placing 2n points on an n X n grid so that no 3 are in a line. A769

a(n) = n*(n+1)*(n+8)/6. A6503

Number of polygon edges formed when every pair of vertices of a regular n-gon are joined by an infinite line. A344899

Sum of the n-th maximal run of adjacent (increasing by one at a time) non-perfect-powers. A375705

a(n) is the concatenation of n and 2n. A19550

Numbers of the form k + wt(k) for exactly three distinct k, where wt(k) = A000120(k) is the binary weight of k. A230092