13,830
13,830 is a composite number, even.
13,830 (thirteen thousand eight hundred thirty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 461. Its proper divisors sum to 19,434, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3606.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 3,831
- Recamán's sequence
- a(21,056) = 13,830
- Square (n²)
- 191,268,900
- Cube (n³)
- 2,645,248,887,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 33,264
- φ(n) — Euler's totient
- 3,680
- Sum of prime factors
- 471
Primality
Prime factorization: 2 × 3 × 5 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,830 = [117; (1, 1, 1, 1, 38, 1, 1, 1, 1, 234)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred thirty
- Ordinal
- 13830th
- Binary
- 11011000000110
- Octal
- 33006
- Hexadecimal
- 0x3606
- Base64
- NgY=
- One's complement
- 51,705 (16-bit)
- Scientific notation
- 1.383 × 10⁴
- As a duration
- 13,830 s = 3 hours, 50 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
- Greek (Milesian)
- ͵ιγωλʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋫·𝋪
- Chinese
- 一萬三千八百三十
- Chinese (financial)
- 壹萬參仟捌佰參拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,830 = 2
- e — Euler's number (e)
- Digit 13,830 = 7
- φ — Golden ratio (φ)
- Digit 13,830 = 2
- √2 — Pythagoras's (√2)
- Digit 13,830 = 1
- ln 2 — Natural log of 2
- Digit 13,830 = 8
- γ — Euler-Mascheroni (γ)
- Digit 13,830 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13830, here are decompositions:
- 23 + 13807 = 13830
- 31 + 13799 = 13830
- 41 + 13789 = 13830
- 67 + 13763 = 13830
- 71 + 13759 = 13830
- 73 + 13757 = 13830
- 79 + 13751 = 13830
- 101 + 13729 = 13830
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 98 86 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.6.
- Address
- 0.0.54.6
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.6
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,830 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -31¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +7¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -30¢)
The digit sequence 13830 first appears in π at position 388,070 of the decimal expansion (the 388,070ordinal-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°.