13,748
13,748 is a composite number, even.
13,748 (thirteen thousand seven hundred forty-eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 491. Its proper divisors sum to 13,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35B4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 23
- Digit product
- 672
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 84,731
- Recamán's sequence
- a(21,220) = 13,748
- Square (n²)
- 189,007,504
- Cube (n³)
- 2,598,475,164,992
- Divisor count
- 12
- σ(n) — sum of divisors
- 27,552
- φ(n) — Euler's totient
- 5,880
- Sum of prime factors
- 502
Primality
Prime factorization: 2 2 × 7 × 491
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,748 = [117; (3, 1, 32, 1, 3, 234)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand seven hundred forty-eight
- Ordinal
- 13748th
- Binary
- 11010110110100
- Octal
- 32664
- Hexadecimal
- 0x35B4
- Base64
- NbQ=
- One's complement
- 51,787 (16-bit)
- Scientific notation
- 1.3748 × 10⁴
- As a duration
- 13,748 s = 3 hours, 49 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγψμηʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋧·𝋨
- Chinese
- 一萬三千七百四十八
- Chinese (financial)
- 壹萬參仟柒佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,748 = 1
- e — Euler's number (e)
- Digit 13,748 = 4
- φ — Golden ratio (φ)
- Digit 13,748 = 7
- √2 — Pythagoras's (√2)
- Digit 13,748 = 8
- ln 2 — Natural log of 2
- Digit 13,748 = 5
- γ — Euler-Mascheroni (γ)
- Digit 13,748 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13748, here are decompositions:
- 19 + 13729 = 13748
- 37 + 13711 = 13748
- 61 + 13687 = 13748
- 67 + 13681 = 13748
- 79 + 13669 = 13748
- 151 + 13597 = 13748
- 157 + 13591 = 13748
- 181 + 13567 = 13748
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 96 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.180.
- Address
- 0.0.53.180
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.180
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,748 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -41¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -4¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -40¢)
The digit sequence 13748 first appears in π at position 126,823 of the decimal expansion (the 126,823ordinal-suffix:rd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.