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187,164

187,164 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.).

187,164 (one hundred eighty-seven thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 1,733. Its proper divisors sum to 298,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2DB1C.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,344
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
461,781
Square (n²)
35,030,362,896
Cube (n³)
6,556,422,841,066,944
Divisor count
24
σ(n) — sum of divisors
485,520
φ(n) — Euler's totient
62,352
Sum of prime factors
1,746

Primality

Prime factorization: 2 2 × 3 3 × 1733

Nearest primes: 187,163 (−1) · 187,171 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 1733 · 3466 · 5199 · 6932 · 10398 · 15597 · 20796 · 31194 · 46791 · 62388 · 93582 (half) · 187164
Aliquot sum (sum of proper divisors): 298,356
Factor pairs (a × b = 187,164)
1 × 187164
2 × 93582
3 × 62388
4 × 46791
6 × 31194
9 × 20796
12 × 15597
18 × 10398
27 × 6932
36 × 5199
54 × 3466
108 × 1733
First multiples
187,164 · 374,328 (double) · 561,492 · 748,656 · 935,820 · 1,122,984 · 1,310,148 · 1,497,312 · 1,684,476 · 1,871,640

Sums & aliquot sequence

As consecutive integers: 62,387 + 62,388 + 62,389 23,392 + 23,393 + … + 23,399 20,792 + 20,793 + … + 20,800 7,787 + 7,788 + … + 7,810
Aliquot sequence: 187,164 → 298,356 → 444,876 → 604,788 → 823,212 → 1,419,028 → 1,350,452 → 1,048,588 → 786,448 → 949,552 → 998,984 → 1,141,816 → 1,163,984 → 1,190,032 → 1,115,686 → 916,442 → 477,274 — unresolved within range

Continued fraction of √n

√187,164 = [432; (1, 1, 1, 1, 1, 33, 1, 65, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 4, 1, 1, …)]

Representations

In words
one hundred eighty-seven thousand one hundred sixty-four
Ordinal
187164th
Binary
101101101100011100
Octal
555434
Hexadecimal
0x2DB1C
Base64
Atsc
One's complement
4,294,780,131 (32-bit)
Scientific notation
1.87164 × 10⁵
As a duration
187,164 s = 2 days, 3 hours, 59 minutes, 24 seconds
In other bases
ternary (3) 100111202000
quaternary (4) 231230130
quinary (5) 21442124
senary (6) 4002300
septenary (7) 1406445
nonary (9) 314660
undecimal (11) 11868a
duodecimal (12) 90390
tridecimal (13) 67263
tetradecimal (14) 4c2cc
pentadecimal (15) 3a6c9

As an angle

187,164° = 519 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρπζρξδʹ
Chinese
十八萬七千一百六十四
Chinese (financial)
壹拾捌萬柒仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٨٧١٦٤ Devanagari १८७१६४ Bengali ১৮৭১৬৪ Tamil ௧௮௭௧௬௪ Thai ๑๘๗๑๖๔ Tibetan ༡༨༧༡༦༤ Khmer ១៨៧១៦៤ Lao ໑໘໗໑໖໔ Burmese ၁၈၇၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 187164, here are decompositions:

  • 23 + 187141 = 187164
  • 31 + 187133 = 187164
  • 37 + 187127 = 187164
  • 41 + 187123 = 187164
  • 53 + 187111 = 187164
  • 73 + 187091 = 187164
  • 83 + 187081 = 187164
  • 97 + 187067 = 187164

Showing the first eight; more decompositions exist.

Unicode codepoint
𭬜
CJK Unified Ideograph-2Db1C
U+2DB1C
Other letter (Lo)

UTF-8 encoding: F0 AD AC 9C (4 bytes).

Hex color
#02DB1C
RGB(2, 219, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.219.28.

Address
0.2.219.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.219.28

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 187,164 and was likely granted around 1875.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.