number.wiki
Live analysis

138,143

138,143 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.).

138,143 (one hundred thirty-eight thousand one hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B9F.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
341,831
Recamán's sequence
a(492,541) = 138,143
Square (n²)
19,083,488,449
Cube (n³)
2,636,250,344,810,207
Divisor count
2
σ(n) — sum of divisors
138,144
φ(n) — Euler's totient
138,142

Primality

138,143 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138143
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,143)
1 × 138143
First multiples
138,143 · 276,286 (double) · 414,429 · 552,572 · 690,715 · 828,858 · 967,001 · 1,105,144 · 1,243,287 · 1,381,430

Sums & aliquot sequence

As consecutive integers: 69,071 + 69,072

Continued fraction of √n

√138,143 = [371; (1, 2, 11, 1, 1, 1, 9, 1, 4, 3, 23, 1, 2, 371, 2, 1, 23, 3, 4, 1, 9, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred forty-three
Ordinal
138143rd
Binary
100001101110011111
Octal
415637
Hexadecimal
0x21B9F
Base64
Ahuf
One's complement
4,294,829,152 (32-bit)
Scientific notation
1.38143 × 10⁵
As a duration
138,143 s = 1 day, 14 hours, 22 minutes, 23 seconds
In other bases
ternary (3) 21000111102
quaternary (4) 201232133
quinary (5) 13410033
senary (6) 2543315
septenary (7) 1113515
nonary (9) 230442
undecimal (11) 94875
duodecimal (12) 67b3b
tridecimal (13) 4ab55
tetradecimal (14) 384b5
pentadecimal (15) 2ade8

As an angle

138,143° = 383 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληρμγʹ
Mayan (base 20)
𝋱·𝋥·𝋧·𝋣
Chinese
一十三萬八千一百四十三
Chinese (financial)
壹拾參萬捌仟壹佰肆拾參
In other modern scripts
Eastern Arabic ١٣٨١٤٣ Devanagari १३८१४३ Bengali ১৩৮১৪৩ Tamil ௧௩௮௧௪௩ Thai ๑๓๘๑๔๓ Tibetan ༡༣༨༡༤༣ Khmer ១៣៨១៤៣ Lao ໑໓໘໑໔໓ Burmese ၁၃၈၁၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138139.

Unicode codepoint
𡮟
CJK Unified Ideograph-21B9F
U+21B9F
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 9F (4 bytes).

Hex color
#021B9F
RGB(2, 27, 159)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.159.

Address
0.2.27.159
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.159

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 138,143 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.