Properties of the Number 3968

Three Thousand Nine Hundred Sixty-Eight

Basics

Value: 3967 → 3968 → 3969

Parity: even

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 31

Divisors: 1, 2, 4, 8, 16, 31, 32, 62, 64, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111110000000

Octal: 7600

Duodecimal: 2368

Hexadecimal: f80

Square: 15745024

Square Root: 62.99206299209449

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

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

Number of partitions of n into squarefree parts. A73576

Numbers that are divisible by exactly 8 primes counting multiplicity. A46310

Numbers n such that Bernoulli number B_n has denominator 510. A271634

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from top row to bottom row. A359574

Numbers of the form q*(2^k), where q is one of the Mersenne primes (A000668) and k >= 0. A335431

Number of subsets of {1..n} such that only one set can be obtained by choosing a different prime factor of each element. A370584

Triangle read by rows: coefficients in polynomials P_n(u) arising from the expansion of D^n-1 (tan x) in increasing powers of tan·for n>=1 and 1 for n=0. A155100

Triangle T(n,k) (1 <= k <= n) of tangent numbers, read by rows: T(n,k) = coefficient of xⁿ/n! in expansion of (tan x)^k/k!. A59419

Products of the 7th power of a prime and a distinct prime (p⁷*q). A179664