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138,163

138,163 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.).

138,163 (one hundred thirty-eight thousand one hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21BB3.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
361,831
Recamán's sequence
a(492,501) = 138,163
Square (n²)
19,089,014,569
Cube (n³)
2,637,395,519,896,747
Divisor count
2
σ(n) — sum of divisors
138,164
φ(n) — Euler's totient
138,162

Primality

138,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,163)
1 × 138163
First multiples
138,163 · 276,326 (double) · 414,489 · 552,652 · 690,815 · 828,978 · 967,141 · 1,105,304 · 1,243,467 · 1,381,630

Sums & aliquot sequence

As consecutive integers: 69,081 + 69,082

Continued fraction of √n

√138,163 = [371; (1, 2, 2, 1, 2, 1, 4, 1, 1, 1, 11, 6, 2, 34, 1, 15, 5, 3, 1, 1, 247, 4, 3, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred sixty-three
Ordinal
138163rd
Binary
100001101110110011
Octal
415663
Hexadecimal
0x21BB3
Base64
Ahuz
One's complement
4,294,829,132 (32-bit)
Scientific notation
1.38163 × 10⁵
As a duration
138,163 s = 1 day, 14 hours, 22 minutes, 43 seconds
In other bases
ternary (3) 21000112011
quaternary (4) 201232303
quinary (5) 13410123
senary (6) 2543351
septenary (7) 1113544
nonary (9) 230464
undecimal (11) 94893
duodecimal (12) 67b57
tridecimal (13) 4ab6c
tetradecimal (14) 384cb
pentadecimal (15) 2ae0d

As an angle

138,163° = 383 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληρξγʹ
Mayan (base 20)
𝋱·𝋥·𝋨·𝋣
Chinese
一十三萬八千一百六十三
Chinese (financial)
壹拾參萬捌仟壹佰陸拾參
In other modern scripts
Eastern Arabic ١٣٨١٦٣ Devanagari १३८१६३ Bengali ১৩৮১৬৩ Tamil ௧௩௮௧௬௩ Thai ๑๓๘๑๖๓ Tibetan ༡༣༨༡༦༣ Khmer ១៣៨១៦៣ Lao ໑໓໘໑໖໓ Burmese ၁၃၈၁၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138157.

Unicode codepoint
𡮳
CJK Unified Ideograph-21Bb3
U+21BB3
Other letter (Lo)

UTF-8 encoding: F0 A1 AE B3 (4 bytes).

Hex color
#021BB3
RGB(2, 27, 179)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.179.

Address
0.2.27.179
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.179

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 138,163 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.