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138,683

138,683 is a prime, odd.

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.).

138,683 (one hundred thirty-eight thousand six hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21DBB.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,456
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
386,831
Recamán's sequence
a(491,461) = 138,683
Square (n²)
19,232,974,489
Cube (n³)
2,667,286,601,057,987
Divisor count
2
σ(n) — sum of divisors
138,684
φ(n) — Euler's totient
138,682

Primality

138,683 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138683
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,683)
1 × 138683
First multiples
138,683 · 277,366 (double) · 416,049 · 554,732 · 693,415 · 832,098 · 970,781 · 1,109,464 · 1,248,147 · 1,386,830

Sums & aliquot sequence

As consecutive integers: 69,341 + 69,342

Continued fraction of √n

√138,683 = [372; (2, 2, 23, 1, 1, 1, 2, 17, 1, 3, 1, 3, 3, 6, 1, 1, 8, 1, 8, 5, 3, 11, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand six hundred eighty-three
Ordinal
138683rd
Binary
100001110110111011
Octal
416673
Hexadecimal
0x21DBB
Base64
Ah27
One's complement
4,294,828,612 (32-bit)
Scientific notation
1.38683 × 10⁵
As a duration
138,683 s = 1 day, 14 hours, 31 minutes, 23 seconds
In other bases
ternary (3) 21001020102
quaternary (4) 201312323
quinary (5) 13414213
senary (6) 2550015
septenary (7) 1115216
nonary (9) 231212
undecimal (11) 95216
duodecimal (12) 6830b
tridecimal (13) 4b17c
tetradecimal (14) 3877d
pentadecimal (15) 2b158

As an angle

138,683° = 385 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληχπγʹ
Mayan (base 20)
𝋱·𝋦·𝋮·𝋣
Chinese
一十三萬八千六百八十三
Chinese (financial)
壹拾參萬捌仟陸佰捌拾參
In other modern scripts
Eastern Arabic ١٣٨٦٨٣ Devanagari १३८६८३ Bengali ১৩৮৬৮৩ Tamil ௧௩௮௬௮௩ Thai ๑๓๘๖๘๓ Tibetan ༡༣༨༦༨༣ Khmer ១៣៨៦៨៣ Lao ໑໓໘໖໘໓ Burmese ၁၃၈၆၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138679.

Unicode codepoint
𡶻
CJK Unified Ideograph-21Dbb
U+21DBB
Other letter (Lo)

UTF-8 encoding: F0 A1 B6 BB (4 bytes).

Hex color
#021DBB
RGB(2, 29, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.187.

Address
0.2.29.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.187

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 138,683 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.