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Properties of the Number 3971

Three Thousand Nine Hundred Seventy-One

Basics

Value: 3970 → 3971 → 3972

Parity: odd

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 19 2

Divisors: 1, 11, 19, 209, 361, 3971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111110000011

Octal: 7603

Duodecimal: 236B

Hexadecimal: f83

Square: 15768841

Square Root: 63.0158710167526

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

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303
Number of multisets summing to n that are the first sums of some nonempty multiset. A390446
Numbers with ordered prime signature (1,2). A95990
Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime. A69833
Numbers k such that Fibonacci(prime(k)) is prime. A119984
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum greater than 4. A184497
a(n) = 11·n2. A33584
Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted. A79024
T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically. A204501
T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252811