Live analysis

20,000

20,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

20,000 (twenty thousand) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2⁵ × 5⁴. Its proper divisors sum to 29,203, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4E20.

Abundant Number Achilles Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Preferred Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

19,988 19,989 19,990 19,991 19,992 19,993 19,994 19,995 19,996 19,997 19,998 19,999 20,000 20,001 20,002 20,003 20,004 20,005 20,006 20,007 20,008 20,009 20,010 20,011 20,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 15 bits
Reversed: 2
Square (n²): 400,000,000
Cube (n³): 8,000,000,000,000
Divisor count: 30
σ(n) — sum of divisors: 49,203
φ(n) — Euler's totient: 8,000
Sum of prime factors: 30

Primality

Prime factorization: 2 ⁵ × 5 ⁴

Nearest primes: 19,997 (−3) · 20,011 (+11)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 125 · 160 · 200 · 250 · 400 · 500 · 625 · 800 · 1000 · 1250 · 2000 · 2500 · 4000 · 5000 · 10000 (half) · 20000

Aliquot sum (sum of proper divisors): 29,203

Factor pairs (a × b = 20,000)

1 × 20000

2 × 10000

4 × 5000

5 × 4000

8 × 2500

10 × 2000

16 × 1250

20 × 1000

25 × 800

32 × 625

40 × 500

50 × 400

80 × 250

100 × 200

125 × 160

First multiples

20,000 · 40,000 (double) · 60,000 · 80,000 · 100,000 · 120,000 · 140,000 · 160,000 · 180,000 · 200,000

Sums & aliquot sequence

As a sum of two squares: 20² + 140² = 68² + 124² = 100² + 100²

As consecutive integers: 3,998 + 3,999 + 4,000 + 4,001 + 4,002 788 + 789 + … + 812 281 + 282 + … + 344 98 + 99 + … + 222

Aliquot sequence: 20,000 → 29,203 → 3,197 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√20,000 = [141; (2, 2, 1, 2, 8, 1, 3, 11, 17, 1, 1, 2, 3, 5, 2, 10, 1, 5, 1, 69, 1, 5, 1, 10, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: twenty thousand
Ordinal: 20000th
Binary: 100111000100000
Octal: 47040
Hexadecimal: 0x4E20
Base64: TiA=
One's complement: 45,535 (16-bit)
Scientific notation: 2 × 10⁴
As a duration: 20,000 s = 5 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1000102202

quaternary (4) 10320200

quinary (5) 1120000

senary (6) 232332

septenary (7) 112211

nonary (9) 30382

undecimal (11) 14032

duodecimal (12) b6a8

tridecimal (13) 9146

tetradecimal (14) 7408

pentadecimal (15) 5dd5

Palindromic in base 7, base 15

As an angle

20,000° = 55 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍
Greek (Milesian): ͵κ
Mayan (base 20): 𝋢·𝋪·𝋠·𝋠
Chinese: 二萬
Chinese (financial): 貳萬

In other modern scripts

Eastern Arabic ٢٠٠٠٠ Devanagari २०००० Bengali ২০০০০ Tamil ௨௦௦௦௦ Thai ๒๐๐๐๐ Tibetan ༢༠༠༠༠ Khmer ២០០០០ Lao ໒໐໐໐໐ Burmese ၂၀၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 20,000 = 7
e — Euler's number (e): Digit 20,000 = 2
φ — Golden ratio (φ): Digit 20,000 = 1
√2 — Pythagoras's (√2): Digit 20,000 = 9
ln 2 — Natural log of 2: Digit 20,000 = 5
γ — Euler-Mascheroni (γ): Digit 20,000 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20000, here are decompositions:

3 + 19997 = 20000
7 + 19993 = 20000
37 + 19963 = 20000
73 + 19927 = 20000
109 + 19891 = 20000
139 + 19861 = 20000
157 + 19843 = 20000
181 + 19819 = 20000

Showing the first eight; more decompositions exist.

Unicode codepoint

丠

CJK Unified Ideograph-4E20

U+4E20

Other letter (Lo)

UTF-8 encoding: E4 B8 A0 (3 bytes).

Lookup U+4E20 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004E20

RGB(0, 78, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.32.

Address: 0.0.78.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.78.32

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

Musical pitch

Heard as a frequency, 20,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯10 (19912.1 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): D♯10 (19484 Hz, +45¢ — about midway to E10)
Baroque pitch (A4 = 415 Hz): E10 (19897.5 Hz, +9¢)

Position in π

The digit sequence 20000 first appears in π at position 254,523 of the decimal expansion (the 254,523ordinal-suffix:rd 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.

Look up 20000 on Pi Search ↗