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138,893

138,893 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.).

138,893 (one hundred thirty-eight thousand eight hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21E8D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,184
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
398,831
Recamán's sequence
a(491,041) = 138,893
Square (n²)
19,291,265,449
Cube (n³)
2,679,421,732,007,957
Divisor count
2
σ(n) — sum of divisors
138,894
φ(n) — Euler's totient
138,892

Primality

138,893 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138893
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,893)
1 × 138893
First multiples
138,893 · 277,786 (double) · 416,679 · 555,572 · 694,465 · 833,358 · 972,251 · 1,111,144 · 1,250,037 · 1,388,930

Sums & aliquot sequence

As a sum of two squares: 157² + 338²
As consecutive integers: 69,446 + 69,447

Continued fraction of √n

√138,893 = [372; (1, 2, 6, 3, 1, 4, 5, 1, 1, 1, 13, 1, 2, 5, 2, 1, 6, 1, 1, 4, 2, 7, 4, 3, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred ninety-three
Ordinal
138893rd
Binary
100001111010001101
Octal
417215
Hexadecimal
0x21E8D
Base64
Ah6N
One's complement
4,294,828,402 (32-bit)
Scientific notation
1.38893 × 10⁵
As a duration
138,893 s = 1 day, 14 hours, 34 minutes, 53 seconds
In other bases
ternary (3) 21001112012
quaternary (4) 201322031
quinary (5) 13421033
senary (6) 2551005
septenary (7) 1115636
nonary (9) 231465
undecimal (11) 95397
duodecimal (12) 68465
tridecimal (13) 4b2b1
tetradecimal (14) 3888d
pentadecimal (15) 2b248

As an angle

138,893° = 385 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληωϟγʹ
Mayan (base 20)
𝋱·𝋧·𝋤·𝋭
Chinese
一十三萬八千八百九十三
Chinese (financial)
壹拾參萬捌仟捌佰玖拾參
In other modern scripts
Eastern Arabic ١٣٨٨٩٣ Devanagari १३८८९३ Bengali ১৩৮৮৯৩ Tamil ௧௩௮௮௯௩ Thai ๑๓๘๘๙๓ Tibetan ༡༣༨༨༩༣ Khmer ១៣៨៨៩៣ Lao ໑໓໘໘໙໓ Burmese ၁၃၈၈၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138889, sexy with 138899.

Unicode codepoint
𡺍
CJK Unified Ideograph-21E8D
U+21E8D
Other letter (Lo)

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

Hex color
#021E8D
RGB(2, 30, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.141.

Address
0.2.30.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.141

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 138,893 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.