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Number

19,813

19,813 is a prime, odd.

19,813 (nineteen thousand eight hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4D65.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
216
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
31,891
Square (n²)
392,554,969
Cube (n³)
7,777,691,600,797
Divisor count
2
σ(n) — sum of divisors
19,814
φ(n) — Euler's totient
19,812

Primality

19,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 19813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 19,813)
1 × 19813
First multiples
19,813 · 39,626 (double) · 59,439 · 79,252 · 99,065 · 118,878 · 138,691 · 158,504 · 178,317 · 198,130

Sums & aliquot sequence

As a sum of two squares: 97² + 102²
As consecutive integers: 9,906 + 9,907

Continued fraction of √n

√19,813 = [140; (1, 3, 6, 1, 30, 2, 2, 1, 1, 6, 1, 1, 1, 2, 1, 4, 1, 2, 4, 1, 22, 1, 1, 1, …)]

Representations

In words
nineteen thousand eight hundred thirteen
Ordinal
19813th
Binary
100110101100101
Octal
46545
Hexadecimal
0x4D65
Base64
TWU=
One's complement
45,722 (16-bit)
Scientific notation
1.9813 × 10⁴
As a duration
19,813 s = 5 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 1000011211
quaternary (4) 10311211
quinary (5) 1113223
senary (6) 231421
septenary (7) 111523
nonary (9) 30154
undecimal (11) 13982
duodecimal (12) b571
tridecimal (13) 9031
tetradecimal (14) 7313
pentadecimal (15) 5d0d

As an angle

19,813° = 55 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιθωιγʹ
Mayan (base 20)
𝋢·𝋩·𝋪·𝋭
Chinese
一萬九千八百一十三
Chinese (financial)
壹萬玖仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٩٨١٣ Devanagari १९८१३ Bengali ১৯৮১৩ Tamil ௧௯௮௧௩ Thai ๑๙๘๑๓ Tibetan ༡༩༨༡༣ Khmer ១៩៨១៣ Lao ໑໙໘໑໓ Burmese ၁၉၈၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 19,813 = 5
e — Euler's number (e)
Digit 19,813 = 4
φ — Golden ratio (φ)
Digit 19,813 = 9
√2 — Pythagoras's (√2)
Digit 19,813 = 9
ln 2 — Natural log of 2
Digit 19,813 = 6
γ — Euler-Mascheroni (γ)
Digit 19,813 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 19,801 (gap of 12)
  • Next prime: 19,819 (gap of 6)

Pair status: sexy with 19819.

Unicode codepoint
CJK Unified Ideograph-4D65
U+4D65
Other letter (Lo)

UTF-8 encoding: E4 B5 A5 (3 bytes).

Hex color
#004D65
RGB(0, 77, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.101.

Address
0.0.77.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.101

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 19,813 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯10 (19912.1 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): E10 (19897.5 Hz, -7¢)
Position in π

The digit sequence 19813 first appears in π at position 15,176 of the decimal expansion (the 15,176ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.