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138,059

138,059 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.).

138,059 (one hundred thirty-eight thousand fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B4B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
950,831
Recamán's sequence
a(492,709) = 138,059
Square (n²)
19,060,287,481
Cube (n³)
2,631,444,229,339,379
Divisor count
2
σ(n) — sum of divisors
138,060
φ(n) — Euler's totient
138,058

Primality

138,059 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138059
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,059)
1 × 138059
First multiples
138,059 · 276,118 (double) · 414,177 · 552,236 · 690,295 · 828,354 · 966,413 · 1,104,472 · 1,242,531 · 1,380,590

Sums & aliquot sequence

As consecutive integers: 69,029 + 69,030

Continued fraction of √n

√138,059 = [371; (1, 1, 3, 2, 8, 1, 31, 2, 2, 2, 7, 2, 2, 6, 2, 1, 5, 1, 3, 1, 1, 11, 2, 2, …)]

Representations

In words
one hundred thirty-eight thousand fifty-nine
Ordinal
138059th
Binary
100001101101001011
Octal
415513
Hexadecimal
0x21B4B
Base64
AhtL
One's complement
4,294,829,236 (32-bit)
Scientific notation
1.38059 × 10⁵
As a duration
138,059 s = 1 day, 14 hours, 20 minutes, 59 seconds
In other bases
ternary (3) 21000101022
quaternary (4) 201231023
quinary (5) 13404214
senary (6) 2543055
septenary (7) 1113335
nonary (9) 230338
undecimal (11) 947a9
duodecimal (12) 67a8b
tridecimal (13) 4aabc
tetradecimal (14) 38455
pentadecimal (15) 2ad8e

As an angle

138,059° = 383 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληνθʹ
Mayan (base 20)
𝋱·𝋥·𝋢·𝋳
Chinese
一十三萬八千零五十九
Chinese (financial)
壹拾參萬捌仟零伍拾玖
In other modern scripts
Eastern Arabic ١٣٨٠٥٩ Devanagari १३८०५९ Bengali ১৩৮০৫৯ Tamil ௧௩௮௦௫௯ Thai ๑๓๘๐๕๙ Tibetan ༡༣༨༠༥༩ Khmer ១៣៨០៥៩ Lao ໑໓໘໐໕໙ Burmese ၁၃၈၀၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138053.

Unicode codepoint
𡭋
CJK Unified Ideograph-21B4B
U+21B4B
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 8B (4 bytes).

Hex color
#021B4B
RGB(2, 27, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.75.

Address
0.2.27.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.75

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 138,059 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.