Number 4004

Interestingness: 8

Visual representations

Binary image (n×n bits)
71113
Prime factorization

Representations of 4004

͵δδʹ
४००४
٤٠٠٤
▃▃▃▃▃
▃▃▃▃▃
●●●●
四千零四
ד׳ ד
𓆼𓆼𓆼𓆼
𓏹𓏹𓏹𓏹
....-----------....-

4004 in different numeral systems

Binary
111110100100
Base-3
Base-4
Base-5
Base-6
Base-7
Base-8
Duodecimal
Hex
fa4
Vigesimal
a04
Base-24
6mk
Base-36
Negabinary
1000011100100

Factorization

Prime factors: 2, 7, 11, 13
Divisors: 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004
Sum of divisors other than 4004: 5404
Product of prime factors: 4004 = 2 × 2 × 7 × 11 × 13

Number-theory characteristics (5)

Difference of 2 squares Odious number Even Composite Abundant

Base-10 digit properties (3)

These depend on the decimal representation of the number.

Palindromic Duck number Happy number

Related primes

Number 4004 prime
Prime number before 4004
Prime number after 4004