13,384
13,384 is a composite number, even.
13,384 (thirteen thousand three hundred eighty-four) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 239. Its proper divisors sum to 15,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3448.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 19
- Digit product
- 288
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 48,331
- Recamán's sequence
- a(47,507) = 13,384
- Square (n²)
- 179,131,456
- Cube (n³)
- 2,397,495,407,104
- Divisor count
- 16
- σ(n) — sum of divisors
- 28,800
- φ(n) — Euler's totient
- 5,712
- Sum of prime factors
- 252
Primality
Prime factorization: 2 3 × 7 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,384 = [115; (1, 2, 4, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 2, 1, 1, 4, 2, 1, 230)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand three hundred eighty-four
- Ordinal
- 13384th
- Binary
- 11010001001000
- Octal
- 32110
- Hexadecimal
- 0x3448
- Base64
- NEg=
- One's complement
- 52,151 (16-bit)
- Scientific notation
- 1.3384 × 10⁴
- As a duration
- 13,384 s = 3 hours, 43 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγτπδʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋩·𝋤
- Chinese
- 一萬三千三百八十四
- Chinese (financial)
- 壹萬參仟參佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,384 = 5
- e — Euler's number (e)
- Digit 13,384 = 2
- φ — Golden ratio (φ)
- Digit 13,384 = 5
- √2 — Pythagoras's (√2)
- Digit 13,384 = 3
- ln 2 — Natural log of 2
- Digit 13,384 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,384 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13384, here are decompositions:
- 3 + 13381 = 13384
- 17 + 13367 = 13384
- 47 + 13337 = 13384
- 53 + 13331 = 13384
- 71 + 13313 = 13384
- 167 + 13217 = 13384
- 197 + 13187 = 13384
- 233 + 13151 = 13384
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 91 88 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.72.
- Address
- 0.0.52.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.72
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,384 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +12¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +50¢ — about midway to A9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +14¢)
The digit sequence 13384 first appears in π at position 17,301 of the decimal expansion (the 17,301ordinal-suffix:st 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.