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Number

19,009

19,009 is a prime, odd.

19,009 (nineteen thousand nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4A41.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
90,091
Flips to (rotate 180°)
60,061
Square (n²)
361,342,081
Cube (n³)
6,868,751,617,729
Divisor count
2
σ(n) — sum of divisors
19,010
φ(n) — Euler's totient
19,008

Primality

19,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 19009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 19,009)
1 × 19009
First multiples
19,009 · 38,018 (double) · 57,027 · 76,036 · 95,045 · 114,054 · 133,063 · 152,072 · 171,081 · 190,090

Sums & aliquot sequence

As a sum of two squares: 28² + 135²
As consecutive integers: 9,504 + 9,505

Continued fraction of √n

√19,009 = [137; (1, 6, 1, 7, 2, 12, 1, 1, 1, 17, 1, 2, 1, 1, 1, 2, 1, 4, 3, 2, 6, 1, 1, 1, …)]

Representations

In words
nineteen thousand nine
Ordinal
19009th
Binary
100101001000001
Octal
45101
Hexadecimal
0x4A41
Base64
SkE=
One's complement
46,526 (16-bit)
Scientific notation
1.9009 × 10⁴
As a duration
19,009 s = 5 hours, 16 minutes, 49 seconds
In other bases
ternary (3) 222002001
quaternary (4) 10221001
quinary (5) 1102014
senary (6) 224001
septenary (7) 106264
nonary (9) 28061
undecimal (11) 13311
duodecimal (12) b001
tridecimal (13) 8863
tetradecimal (14) 6cdb
pentadecimal (15) 5974

As an angle

19,009° = 52 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιθθʹ
Mayan (base 20)
𝋢·𝋧·𝋪·𝋩
Chinese
一萬九千零九
Chinese (financial)
壹萬玖仟零玖
In other modern scripts
Eastern Arabic ١٩٠٠٩ Devanagari १९००९ Bengali ১৯০০৯ Tamil ௧௯௦௦௯ Thai ๑๙๐๐๙ Tibetan ༡༩༠༠༩ Khmer ១៩០០៩ Lao ໑໙໐໐໙ Burmese ၁၉၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 19,009 = 6
e — Euler's number (e)
Digit 19,009 = 9
φ — Golden ratio (φ)
Digit 19,009 = 7
√2 — Pythagoras's (√2)
Digit 19,009 = 4
ln 2 — Natural log of 2
Digit 19,009 = 3
γ — Euler-Mascheroni (γ)
Digit 19,009 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 19,001 (gap of 8)
  • Next prime: 19,013 (gap of 4)

Pair status: cousin with 19013.

Unicode codepoint
CJK Unified Ideograph-4A41
U+4A41
Other letter (Lo)

UTF-8 encoding: E4 A9 81 (3 bytes).

Hex color
#004A41
RGB(0, 74, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.74.65.

Address
0.0.74.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.74.65

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

Musical pitch

Heard as a frequency, 19,009 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, +20¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, -43¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, +21¢)
Position in π

The digit sequence 19009 first appears in π at position 14,832 of the decimal expansion (the 14,832ordinal-suffix:nd 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.