13,984
13,984 is a composite number, even.
13,984 (thirteen thousand nine hundred eighty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 19 × 23. Its proper divisors sum to 16,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x36A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 25
- Digit product
- 864
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 48,931
- Recamán's sequence
- a(20,748) = 13,984
- Square (n²)
- 195,552,256
- Cube (n³)
- 2,734,602,747,904
- Divisor count
- 24
- σ(n) — sum of divisors
- 30,240
- φ(n) — Euler's totient
- 6,336
- Sum of prime factors
- 52
Primality
Prime factorization: 2 5 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,984 = [118; (3, 1, 15, 59, 15, 1, 3, 236)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand nine hundred eighty-four
- Ordinal
- 13984th
- Binary
- 11011010100000
- Octal
- 33240
- Hexadecimal
- 0x36A0
- Base64
- NqA=
- One's complement
- 51,551 (16-bit)
- Scientific notation
- 1.3984 × 10⁴
- As a duration
- 13,984 s = 3 hours, 53 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγϡπδʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋳·𝋤
- Chinese
- 一萬三千九百八十四
- Chinese (financial)
- 壹萬參仟玖佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,984 = 6
- e — Euler's number (e)
- Digit 13,984 = 9
- φ — Golden ratio (φ)
- Digit 13,984 = 9
- √2 — Pythagoras's (√2)
- Digit 13,984 = 8
- ln 2 — Natural log of 2
- Digit 13,984 = 1
- γ — Euler-Mascheroni (γ)
- Digit 13,984 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13984, here are decompositions:
- 17 + 13967 = 13984
- 53 + 13931 = 13984
- 71 + 13913 = 13984
- 83 + 13901 = 13984
- 101 + 13883 = 13984
- 107 + 13877 = 13984
- 227 + 13757 = 13984
- 233 + 13751 = 13984
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 9A A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.160.
- Address
- 0.0.54.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,984 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -12¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -11¢)
The digit sequence 13984 first appears in π at position 7,332 of the decimal expansion (the 7,332ordinal-suffix:nd 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.