13,248
13,248 is a composite number, even.
13,248 (thirteen thousand two hundred forty-eight) is an even 5-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 23. Its proper divisors sum to 26,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 192
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 84,231
- Recamán's sequence
- a(47,779) = 13,248
- Square (n²)
- 175,509,504
- Cube (n³)
- 2,325,149,908,992
- Divisor count
- 42
- σ(n) — sum of divisors
- 39,624
- φ(n) — Euler's totient
- 4,224
- Sum of prime factors
- 41
Primality
Prime factorization: 2 6 × 3 2 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,248 = [115; (10, 230)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand two hundred forty-eight
- Ordinal
- 13248th
- Binary
- 11001111000000
- Octal
- 31700
- Hexadecimal
- 0x33C0
- Base64
- M8A=
- One's complement
- 52,287 (16-bit)
- Scientific notation
- 1.3248 × 10⁴
- As a duration
- 13,248 s = 3 hours, 40 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγσμηʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋢·𝋨
- Chinese
- 一萬三千二百四十八
- Chinese (financial)
- 壹萬參仟貳佰肆拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,248 = 9
- e — Euler's number (e)
- Digit 13,248 = 1
- φ — Golden ratio (φ)
- Digit 13,248 = 4
- √2 — Pythagoras's (√2)
- Digit 13,248 = 7
- ln 2 — Natural log of 2
- Digit 13,248 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,248 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13248, here are decompositions:
- 7 + 13241 = 13248
- 19 + 13229 = 13248
- 29 + 13219 = 13248
- 31 + 13217 = 13248
- 61 + 13187 = 13248
- 71 + 13177 = 13248
- 89 + 13159 = 13248
- 97 + 13151 = 13248
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8F 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.192.
- Address
- 0.0.51.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,248 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -5¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +32¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -4¢)
The digit sequence 13248 first appears in π at position 92,526 of the decimal expansion (the 92,526ordinal-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°.