4,104
4,104 is a composite number, even.
4,104 (four thousand one hundred four) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 19. Its proper divisors sum to 7,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1008.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,014
- Recamán's sequence
- a(28,868) = 4,104
- Square (n²)
- 16,842,816
- Cube (n³)
- 69,122,916,864
- Divisor count
- 32
- σ(n) — sum of divisors
- 12,000
- φ(n) — Euler's totient
- 1,296
- Sum of prime factors
- 34
Primality
Prime factorization: 2 3 × 3 3 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,104 = [64; (16, 128)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four thousand one hundred four
- Ordinal
- 4104th
- Binary
- 1000000001000
- Octal
- 10010
- Hexadecimal
- 0x1008
- Base64
- EAg=
- One's complement
- 61,431 (16-bit)
- Scientific notation
- 4.104 × 10³
- As a duration
- 4,104 s = 1 hour, 8 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δρδʹ
- Mayan (base 20)
- 𝋪·𝋥·𝋤
- Chinese
- 四千一百零四
- Chinese (financial)
- 肆仟壹佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,104 = 4
- e — Euler's number (e)
- Digit 4,104 = 9
- φ — Golden ratio (φ)
- Digit 4,104 = 6
- √2 — Pythagoras's (√2)
- Digit 4,104 = 7
- ln 2 — Natural log of 2
- Digit 4,104 = 0
- γ — Euler-Mascheroni (γ)
- Digit 4,104 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4104, here are decompositions:
- 5 + 4099 = 4104
- 11 + 4093 = 4104
- 13 + 4091 = 4104
- 31 + 4073 = 4104
- 47 + 4057 = 4104
- 53 + 4051 = 4104
- 83 + 4021 = 4104
- 97 + 4007 = 4104
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 80 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.8.
- Address
- 0.0.16.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.16.8
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,104 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -34¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +3¢)
- Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -33¢)
The digit sequence 4104 first appears in π at position 12,040 of the decimal expansion (the 12,040ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.