13,216
13,216 is a composite number, even.
13,216 (thirteen thousand two hundred sixteen) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 59. Its proper divisors sum to 17,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 36
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 61,231
- Recamán's sequence
- a(47,843) = 13,216
- Square (n²)
- 174,662,656
- Cube (n³)
- 2,308,341,661,696
- Divisor count
- 24
- σ(n) — sum of divisors
- 30,240
- φ(n) — Euler's totient
- 5,568
- Sum of prime factors
- 76
Primality
Prime factorization: 2 5 × 7 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,216 = [114; (1, 24, 1, 1, 4, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 2, 8, 1, 3, 7, 6, 4, 57, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand two hundred sixteen
- Ordinal
- 13216th
- Binary
- 11001110100000
- Octal
- 31640
- Hexadecimal
- 0x33A0
- Base64
- M6A=
- One's complement
- 52,319 (16-bit)
- Scientific notation
- 1.3216 × 10⁴
- As a duration
- 13,216 s = 3 hours, 40 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγσιϛʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋠·𝋰
- Chinese
- 一萬三千二百一十六
- Chinese (financial)
- 壹萬參仟貳佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,216 = 3
- e — Euler's number (e)
- Digit 13,216 = 4
- φ — Golden ratio (φ)
- Digit 13,216 = 6
- √2 — Pythagoras's (√2)
- Digit 13,216 = 9
- ln 2 — Natural log of 2
- Digit 13,216 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,216 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13216, here are decompositions:
- 29 + 13187 = 13216
- 53 + 13163 = 13216
- 89 + 13127 = 13216
- 107 + 13109 = 13216
- 113 + 13103 = 13216
- 167 + 13049 = 13216
- 173 + 13043 = 13216
- 179 + 13037 = 13216
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 8E A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.160.
- Address
- 0.0.51.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.51.160
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,216 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -10¢)
- Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +28¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -8¢)
The digit sequence 13216 first appears in π at position 240,707 of the decimal expansion (the 240,707ordinal-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.