13,224
13,224 is a composite number, even.
13,224 (thirteen thousand two hundred twenty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 29. Its proper divisors sum to 22,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 48
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 42,231
- Recamán's sequence
- a(47,827) = 13,224
- Square (n²)
- 174,874,176
- Cube (n³)
- 2,312,536,103,424
- Divisor count
- 32
- σ(n) — sum of divisors
- 36,000
- φ(n) — Euler's totient
- 4,032
- Sum of prime factors
- 57
Primality
Prime factorization: 2 3 × 3 × 19 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,224 = [114; (1, 228)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand two hundred twenty-four
- Ordinal
- 13224th
- Binary
- 11001110101000
- Octal
- 31650
- Hexadecimal
- 0x33A8
- Base64
- M6g=
- One's complement
- 52,311 (16-bit)
- Scientific notation
- 1.3224 × 10⁴
- As a duration
- 13,224 s = 3 hours, 40 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγσκδʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋡·𝋤
- Chinese
- 一萬三千二百二十四
- Chinese (financial)
- 壹萬參仟貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,224 = 5
- e — Euler's number (e)
- Digit 13,224 = 3
- φ — Golden ratio (φ)
- Digit 13,224 = 9
- √2 — Pythagoras's (√2)
- Digit 13,224 = 1
- ln 2 — Natural log of 2
- Digit 13,224 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,224 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13224, here are decompositions:
- 5 + 13219 = 13224
- 7 + 13217 = 13224
- 37 + 13187 = 13224
- 41 + 13183 = 13224
- 47 + 13177 = 13224
- 53 + 13171 = 13224
- 61 + 13163 = 13224
- 73 + 13151 = 13224
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8E A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.168.
- Address
- 0.0.51.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,224 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -9¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +29¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -7¢)
The digit sequence 13224 first appears in π at position 32,779 of the decimal expansion (the 32,779ordinal-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°.