Properties of the Number 3997

Three Thousand Nine Hundred Ninety-Seven

Basics

Value: 3996 → 3997 → 3998

Parity: odd

Prime: No

Previous Prime: 3989

Next Prime: 4001

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 571

Divisors: 1, 7, 571, 3997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011101

Octal: 7635

Duodecimal: 2391

Hexadecimal: f9d

Square: 15976009

Square Root: 63.221831672294975

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

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

Number of partitions of n such that no part is a sum of two other parts. A236912

Number of superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Number of regions that the line segments in A091908(n) cut the equilateral triangle into. A92098

A B₂ sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct. A25582

Composite and every divisor (except 1) contains the digit 7. A62676

Number A(n,k) of partitions of kⁿ into parts that are at most n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A238010

Numbers n such that p(10n) is prime, where p(n) is the number of partitions of n. A114170

T(n,k)=Number of length n+3 0..k arrays with some disjoint pairs in every consecutive four terms having the same sum. A247533

Molien series for invariants of finite Coxeter group A₇. A266776