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138,184

138,184 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.).

138,184 (one hundred thirty-eight thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 751. Written other ways, in hexadecimal, 0x21BC8.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
768
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
481,831
Recamán's sequence
a(492,459) = 138,184
Square (n²)
19,094,817,856
Cube (n³)
2,638,598,310,613,504
Divisor count
16
σ(n) — sum of divisors
270,720
φ(n) — Euler's totient
66,000
Sum of prime factors
780

Primality

Prime factorization: 2 3 × 23 × 751

Nearest primes: 138,181 (−3) · 138,191 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 23 · 46 · 92 · 184 · 751 · 1502 · 3004 · 6008 · 17273 · 34546 · 69092 (half) · 138184
Aliquot sum (sum of proper divisors): 132,536
Factor pairs (a × b = 138,184)
1 × 138184
2 × 69092
4 × 34546
8 × 17273
23 × 6008
46 × 3004
92 × 1502
184 × 751
First multiples
138,184 · 276,368 (double) · 414,552 · 552,736 · 690,920 · 829,104 · 967,288 · 1,105,472 · 1,243,656 · 1,381,840

Sums & aliquot sequence

As consecutive integers: 8,629 + 8,630 + … + 8,644 5,997 + 5,998 + … + 6,019 192 + 193 + … + 559
Aliquot sequence: 138,184 132,536 115,984 129,536 165,088 246,176 321,202 229,454 122,194 63,134 31,570 41,006 32,434 16,220 17,884 15,380 16,960 — unresolved within range

Continued fraction of √n

√138,184 = [371; (1, 2, 1, 2, 1, 1, 4, 10, 9, 3, 5, 6, 1, 8, 3, 6, 1, 3, 6, 2, 3, 1, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand one hundred eighty-four
Ordinal
138184th
Binary
100001101111001000
Octal
415710
Hexadecimal
0x21BC8
Base64
AhvI
One's complement
4,294,829,111 (32-bit)
Scientific notation
1.38184 × 10⁵
As a duration
138,184 s = 1 day, 14 hours, 23 minutes, 4 seconds
In other bases
ternary (3) 21000112221
quaternary (4) 201233020
quinary (5) 13410214
senary (6) 2543424
septenary (7) 1113604
nonary (9) 230487
undecimal (11) 94902
duodecimal (12) 67b74
tridecimal (13) 4ab87
tetradecimal (14) 38504
pentadecimal (15) 2ae24

As an angle

138,184° = 383 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρπδʹ
Mayan (base 20)
𝋱·𝋥·𝋩·𝋤
Chinese
一十三萬八千一百八十四
Chinese (financial)
壹拾參萬捌仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٨١٨٤ Devanagari १३८१८४ Bengali ১৩৮১৮৪ Tamil ௧௩௮௧௮௪ Thai ๑๓๘๑๘๔ Tibetan ༡༣༨༡༨༤ Khmer ១៣៨១៨៤ Lao ໑໓໘໑໘໔ Burmese ၁၃၈၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138184, here are decompositions:

  • 3 + 138181 = 138184
  • 5 + 138179 = 138184
  • 41 + 138143 = 138184
  • 71 + 138113 = 138184
  • 83 + 138101 = 138184
  • 107 + 138077 = 138184
  • 113 + 138071 = 138184
  • 131 + 138053 = 138184

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯈
CJK Unified Ideograph-21Bc8
U+21BC8
Other letter (Lo)

UTF-8 encoding: F0 A1 AF 88 (4 bytes).

Hex color
#021BC8
RGB(2, 27, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.200.

Address
0.2.27.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.200

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 138,184 and was likely granted around 1872.

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

Position in π

The digit sequence 138184 first appears in π at position 419,204 of the decimal expansion (the 419,204ordinal-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