Live analysis

188,000

188,000 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.).

188,000 (one hundred eighty-eight thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 47. Its proper divisors sum to 283,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2DE60.

Abundant Number Arithmetic Number Flippable Gapful Number Happy Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

187,988 187,989 187,990 187,991 187,992 187,993 187,994 187,995 187,996 187,997 187,998 187,999 188,000 188,001 188,002 188,003 188,004 188,005 188,006 188,007 188,008 188,009 188,010 188,011 188,012

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 881
Flips to (rotate 180°): 881
Square (n²): 35,344,000,000
Cube (n³): 6,644,672,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 471,744
φ(n) — Euler's totient: 73,600
Sum of prime factors: 72

Primality

Prime factorization: 2 ⁵ × 5 ³ × 47

Nearest primes: 187,987 (−13) · 188,011 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 47 · 50 · 80 · 94 · 100 · 125 · 160 · 188 · 200 · 235 · 250 · 376 · 400 · 470 · 500 · 752 · 800 · 940 · 1000 · 1175 · 1504 · 1880 · 2000 · 2350 · 3760 · 4000 · 4700 · 5875 · 7520 · 9400 · 11750 · 18800 · 23500 · 37600 · 47000 · 94000 (half) · 188000

Aliquot sum (sum of proper divisors): 283,744

Factor pairs (a × b = 188,000)

1 × 188000

2 × 94000

4 × 47000

5 × 37600

8 × 23500

10 × 18800

16 × 11750

20 × 9400

25 × 7520

32 × 5875

40 × 4700

47 × 4000

50 × 3760

80 × 2350

94 × 2000

100 × 1880

125 × 1504

160 × 1175

188 × 1000

200 × 940

235 × 800

250 × 752

376 × 500

400 × 470

First multiples

188,000 · 376,000 (double) · 564,000 · 752,000 · 940,000 · 1,128,000 · 1,316,000 · 1,504,000 · 1,692,000 · 1,880,000

Sums & aliquot sequence

As consecutive integers: 37,598 + 37,599 + 37,600 + 37,601 + 37,602 7,508 + 7,509 + … + 7,532 3,977 + 3,978 + … + 4,023 2,906 + 2,907 + … + 2,969

Aliquot sequence: 188,000 → 283,744 → 274,940 → 314,740 → 346,256 → 412,624 → 477,944 → 418,216 → 379,724 → 296,476 → 268,004 → 243,724 → 230,596 → 172,954 → 86,480 → 127,792 → 161,996 — unresolved within range

Continued fraction of √n

√188,000 = [433; (1, 1, 2, 3, 2, 8, 4, 4, 5, 1, 1, 34, 6, 1, 27, 8, 1, 1, 1, 2, 1, 16, 1, 33, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one hundred eighty-eight thousand
Ordinal: 188000th
Binary: 101101111001100000
Octal: 557140
Hexadecimal: 0x2DE60
Base64: At5g
One's complement: 4,294,779,295 (32-bit)
Scientific notation: 1.88 × 10⁵
As a duration: 188,000 s = 2 days, 4 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 100112212222

quaternary (4) 231321200

quinary (5) 22004000

senary (6) 4010212

septenary (7) 1412051

nonary (9) 315788

undecimal (11) 11927a

duodecimal (12) 90968

tridecimal (13) 67757

tetradecimal (14) 4c728

pentadecimal (15) 3aa85

As an angle

188,000° = 522 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρπη
Chinese: 十八萬八千
Chinese (financial): 壹拾捌萬捌仟

In other modern scripts

Eastern Arabic ١٨٨٠٠٠ Devanagari १८८००० Bengali ১৮৮০০০ Tamil ௧௮௮௦௦௦ Thai ๑๘๘๐๐๐ Tibetan ༡༨༨༠༠༠ Khmer ១៨៨០០០ Lao ໑໘໘໐໐໐ Burmese ၁၈၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188000, here are decompositions:

13 + 187987 = 188000
37 + 187963 = 188000
73 + 187927 = 188000
79 + 187921 = 188000
103 + 187897 = 188000
139 + 187861 = 188000
157 + 187843 = 188000
313 + 187687 = 188000

Showing the first eight; more decompositions exist.

Unicode codepoint

𭹠

CJK Unified Ideograph-2De60

U+2DE60

Other letter (Lo)

UTF-8 encoding: F0 AD B9 A0 (4 bytes).

Lookup U+2DE60 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02DE60

RGB(2, 222, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.222.96.

Address: 0.2.222.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.222.96

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 188,000 and was likely granted around 1875.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US188,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 188000 first appears in π at position 297,259 of the decimal expansion (the 297,259ordinal-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.

Look up 188000 on Pi Search ↗