Properties of the Number 3880

Three Thousand Eight Hundred Eighty

Basics

Value: 3879 → 3880 → 3881

Parity: even

Prime: No

Previous Prime: 3877

Next Prime: 3881

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 97

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 97, 194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100101000

Octal: 7450

Duodecimal: 22B4

Hexadecimal: f28

Square: 15054400

Square Root: 62.289646009589745

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

Triangle P, read by rows, such that P² transforms column k of P into column k+1 of P, so that column k of P equals column 0 of P^2·k+1, where P² denotes the matrix square of P. A113340

Number of partitions of n containing a clique of size 8. A183565

Numbers k such that φ(x) = k has exactly 8 solutions. A60671

Expansion of Product(1+q^m)^m(m-1/2); m=1..inf. A27999

Number of 1-separable partitions of n; see Comments. A239467

a(n) = 2·1 + 4·3 + 6·5 + 8·7 + 10·9 + 12·11 + ... + (up to the n-th term). A319866

Inverse Euler transform of {1, primes}. A30011

a(n) = 4·a(n-1) + 2·a(n-2) for n>1, a(0)=1, a(1)=2. A84059

Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n. A108576

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252544