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Number

19,801

19,801 is a prime, odd.

19,801 (nineteen thousand eight hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4D59.

Arithmetic Number Binary Palindrome Centered Square Cube-Free Deficient Number Emirp Evil Number Flippable 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
10,891
Flips to (rotate 180°)
10,861
Square (n²)
392,079,601
Cube (n³)
7,763,568,179,401
Divisor count
2
σ(n) — sum of divisors
19,802
φ(n) — Euler's totient
19,800

Primality

19,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 19801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 19,801)
1 × 19801
First multiples
19,801 · 39,602 (double) · 59,403 · 79,204 · 99,005 · 118,806 · 138,607 · 158,408 · 178,209 · 198,010

Sums & aliquot sequence

As a sum of two squares: 99² + 100²
As consecutive integers: 9,900 + 9,901

Continued fraction of √n

√19,801 = [140; (1, 2, 1, 1, 11, 6, 2, 5, 1, 1, 9, 6, 6, 1, 2, 2, 1, 24, 1, 7, 1, 1, 3, 4, …)]

Representations

In words
nineteen thousand eight hundred one
Ordinal
19801st
Binary
100110101011001
Octal
46531
Hexadecimal
0x4D59
Base64
TVk=
One's complement
45,734 (16-bit)
Scientific notation
1.9801 × 10⁴
As a duration
19,801 s = 5 hours, 30 minutes, 1 second
In other bases
ternary (3) 1000011101
quaternary (4) 10311121
quinary (5) 1113201
senary (6) 231401
septenary (7) 111505
nonary (9) 30141
undecimal (11) 13971
duodecimal (12) b561
tridecimal (13) 9022
tetradecimal (14) 7305
pentadecimal (15) 5d01
Palindromic in base 2

As an angle

19,801° = 55 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιθωαʹ
Mayan (base 20)
𝋢·𝋩·𝋪·𝋡
Chinese
一萬九千八百零一
Chinese (financial)
壹萬玖仟捌佰零壹
In other modern scripts
Eastern Arabic ١٩٨٠١ Devanagari १९८०१ Bengali ১৯৮০১ Tamil ௧௯௮௦௧ Thai ๑๙๘๐๑ Tibetan ༡༩༨༠༡ Khmer ១៩៨០១ Lao ໑໙໘໐໑ Burmese ၁၉၈၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 19,801 = 6
e — Euler's number (e)
Digit 19,801 = 4
φ — Golden ratio (φ)
Digit 19,801 = 6
√2 — Pythagoras's (√2)
Digit 19,801 = 3
ln 2 — Natural log of 2
Digit 19,801 = 3
γ — Euler-Mascheroni (γ)
Digit 19,801 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 19,793 (gap of 8)
  • Next prime: 19,813 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-4D59
U+4D59
Other letter (Lo)

UTF-8 encoding: E4 B5 99 (3 bytes).

Hex color
#004D59
RGB(0, 77, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.77.89.

Address
0.0.77.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.77.89

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

Musical pitch

Heard as a frequency, 19,801 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯10 (19912.1 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, +28¢)
  • Baroque pitch (A4 = 415 Hz): E10 (19897.5 Hz, -8¢)
Position in π

The digit sequence 19801 first appears in π at position 124,110 of the decimal expansion (the 124,110ordinal-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.