Properties of the Number 3987

Three Thousand Nine Hundred Eighty-Seven

Basics

Value: 3986 → 3987 → 3988

Parity: odd

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 443

Divisors: 1, 3, 9, 443, 1329, 3987

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110010011

Octal: 7623

Duodecimal: 2383

Hexadecimal: f93

Square: 15896169

Square Root: 63.14269553954757

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

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the number of partitions of n^k into powers of k. A196879

Smaller of two consecutive numbers of the form p²*q where p and q are distinct primes. A74172

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 4 multiples of n-1, n-2, ..., 1, for n>=1. A112558

Numbers k such that k and k+1 both have 6 divisors. A49103

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A236490

Sum of the squarefree parts of the partitions of n into 4 parts. A309479

Total sum of number of λ-parking functions, where λ ranges over all partitions of n into distinct parts. A265016

Number of nonnegative solutions of x1² + x2² + ... + x9² = n. A45851

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791). Sequence gives values of x. A50792

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise. A235437