Properties of the Number 3972

Three Thousand Nine Hundred Seventy-Two

Basics

Value: 3971 → 3972 → 3973

Parity: even

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 331

Divisors: 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000100

Octal: 7604

Duodecimal: 2370

Hexadecimal: f84

Square: 15776784

Square Root: 63.02380502635492

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Icosahedral numbers: a(n) = n*(5·n² - 5·n + 2)/2. A6564

Number of integer partitions of n having a permutation with all equal run-lengths. A383013

Number of strict non-knapsack integer partitions of n, meaning not every subset has a different sum. A316402

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + (j+1)*prime(j)*T(n-2, k-1) with j=4, read by rows. A153649

a(n) = a(n-1) + ∑_k=0..n-4 a(k)*a(n-4-k), a(0) = 1. Generalized Catalan Numbers. A23426

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1. A113748

a(n) = A014486(A122238(n)). A122239

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6 and no adjacent elements equal. A233733

Sum of the eighth largest parts of the partitions of n into 10 parts. A326591