Properties of the Number 3996

Three Thousand Nine Hundred Ninety-Six

Basics

Value: 3995 → 3996 → 3997

Parity: even

Prime: No

Previous Prime: 3989

Next Prime: 4001

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 37

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011100

Octal: 7634

Duodecimal: 2390

Hexadecimal: f9c

Square: 15968016

Square Root: 63.21392251711643

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

6 times triangular numbers: a(n) = 3·n*(n+1). A28896

Array read by descending antidiagonals: T(n,k) is the number of unoriented strings with n beads of k or fewer colors. A277504

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

Numbers k such that φ(k) is a perfect biquadrate. A78164

Sum of third powers of four consecutive primes. A133525

a(n) = n*(11·n - 1)/2. A22268

When expressed in base 2 and then interpreted in base 9, is a multiple of the original number. A62850

28-gonal numbers: a(n) = n*(13·n - 12). A161935

Triangle T(n,k) = number of minimal covers of an unlabeled n-set that cover k points of that set uniquely, k=0..n. A56885

Numbers k such that φ(x) = k has exactly 7 solutions. A60670