13,048
13,048 is a composite number, even.
13,048 (thirteen thousand forty-eight) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 233. Its proper divisors sum to 15,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x32F8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 84,031
- Recamán's sequence
- a(48,179) = 13,048
- Square (n²)
- 170,250,304
- Cube (n³)
- 2,221,425,966,592
- Divisor count
- 16
- σ(n) — sum of divisors
- 28,080
- φ(n) — Euler's totient
- 5,568
- Sum of prime factors
- 246
Primality
Prime factorization: 2 3 × 7 × 233
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,048 = [114; (4, 2, 1, 1, 3, 28, 3, 1, 1, 2, 4, 228)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand forty-eight
- Ordinal
- 13048th
- Binary
- 11001011111000
- Octal
- 31370
- Hexadecimal
- 0x32F8
- Base64
- Mvg=
- One's complement
- 52,487 (16-bit)
- Scientific notation
- 1.3048 × 10⁴
- As a duration
- 13,048 s = 3 hours, 37 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγμηʹ
- Mayan (base 20)
- 𝋡·𝋬·𝋬·𝋨
- Chinese
- 一萬三千零四十八
- Chinese (financial)
- 壹萬參仟零肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,048 = 2
- e — Euler's number (e)
- Digit 13,048 = 8
- φ — Golden ratio (φ)
- Digit 13,048 = 2
- √2 — Pythagoras's (√2)
- Digit 13,048 = 4
- ln 2 — Natural log of 2
- Digit 13,048 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,048 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13048, here are decompositions:
- 5 + 13043 = 13048
- 11 + 13037 = 13048
- 41 + 13007 = 13048
- 47 + 13001 = 13048
- 89 + 12959 = 13048
- 107 + 12941 = 13048
- 131 + 12917 = 13048
- 137 + 12911 = 13048
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8B B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.248.
- Address
- 0.0.50.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.50.248
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,048 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -32¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +6¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -31¢)
The digit sequence 13048 first appears in π at position 286,768 of the decimal expansion (the 286,768ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.