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138,889

138,889 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.).

138,889 (one hundred thirty-eight thousand eight hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21E89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
13,824
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
988,831
Recamán's sequence
a(491,049) = 138,889
Square (n²)
19,290,154,321
Cube (n³)
2,679,190,243,489,369
Divisor count
2
σ(n) — sum of divisors
138,890
φ(n) — Euler's totient
138,888

Primality

138,889 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138889
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,889)
1 × 138889
First multiples
138,889 · 277,778 (double) · 416,667 · 555,556 · 694,445 · 833,334 · 972,223 · 1,111,112 · 1,250,001 · 1,388,890

Sums & aliquot sequence

As a sum of two squares: 260² + 267²
As consecutive integers: 69,444 + 69,445

Continued fraction of √n

√138,889 = [372; (1, 2, 9, 2, 1, 7, 1, 3, 1, 4, 13, 9, 1, 6, 3, 1, 3, 8, 9, 5, 9, 1, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred eighty-nine
Ordinal
138889th
Binary
100001111010001001
Octal
417211
Hexadecimal
0x21E89
Base64
Ah6J
One's complement
4,294,828,406 (32-bit)
Scientific notation
1.38889 × 10⁵
As a duration
138,889 s = 1 day, 14 hours, 34 minutes, 49 seconds
In other bases
ternary (3) 21001112001
quaternary (4) 201322021
quinary (5) 13421024
senary (6) 2551001
septenary (7) 1115632
nonary (9) 231461
undecimal (11) 95393
duodecimal (12) 68461
tridecimal (13) 4b2aa
tetradecimal (14) 38889
pentadecimal (15) 2b244

As an angle

138,889° = 385 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληωπθʹ
Mayan (base 20)
𝋱·𝋧·𝋤·𝋩
Chinese
一十三萬八千八百八十九
Chinese (financial)
壹拾參萬捌仟捌佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٨٨٨٩ Devanagari १३८८८९ Bengali ১৩৮৮৮৯ Tamil ௧௩௮௮௮௯ Thai ๑๓๘๘๘๙ Tibetan ༡༣༨༨༨༩ Khmer ១៣៨៨៨៩ Lao ໑໓໘໘໘໙ Burmese ၁၃၈၈၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138893, sexy with 138883.

Unicode codepoint
𡺉
CJK Unified Ideograph-21E89
U+21E89
Other letter (Lo)

UTF-8 encoding: F0 A1 BA 89 (4 bytes).

Hex color
#021E89
RGB(2, 30, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.137.

Address
0.2.30.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.137

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 138,889 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 138889 first appears in π at position 669,660 of the decimal expansion (the 669,660ordinal-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

  • 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.