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139,393

139,393 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.).

139,393 (one hundred thirty-nine thousand three 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, 0x22081.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,187
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
393,931
Recamán's sequence
a(490,041) = 139,393
Square (n²)
19,430,408,449
Cube (n³)
2,708,462,924,931,457
Divisor count
2
σ(n) — sum of divisors
139,394
φ(n) — Euler's totient
139,392

Primality

139,393 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139393
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,393)
1 × 139393
First multiples
139,393 · 278,786 (double) · 418,179 · 557,572 · 696,965 · 836,358 · 975,751 · 1,115,144 · 1,254,537 · 1,393,930

Sums & aliquot sequence

As a sum of two squares: 63² + 368²
As consecutive integers: 69,696 + 69,697

Continued fraction of √n

√139,393 = [373; (2, 1, 4, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 2, 4, 2, 9, 1, 11, 1, 3, 35, 3, 3, …)]

Representations

In words
one hundred thirty-nine thousand three hundred ninety-three
Ordinal
139393rd
Binary
100010000010000001
Octal
420201
Hexadecimal
0x22081
Base64
AiCB
One's complement
4,294,827,902 (32-bit)
Scientific notation
1.39393 × 10⁵
As a duration
139,393 s = 1 day, 14 hours, 43 minutes, 13 seconds
In other bases
ternary (3) 21002012201
quaternary (4) 202002001
quinary (5) 13430033
senary (6) 2553201
septenary (7) 1120252
nonary (9) 232181
undecimal (11) 95801
duodecimal (12) 68801
tridecimal (13) 4b5a7
tetradecimal (14) 38b29
pentadecimal (15) 2b47d

As an angle

139,393° = 387 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλθτϟγʹ
Mayan (base 20)
𝋱·𝋨·𝋩·𝋭
Chinese
一十三萬九千三百九十三
Chinese (financial)
壹拾參萬玖仟參佰玖拾參
In other modern scripts
Eastern Arabic ١٣٩٣٩٣ Devanagari १३९३९३ Bengali ১৩৯৩৯৩ Tamil ௧௩௯௩௯௩ Thai ๑๓๙๓๙๓ Tibetan ༡༣༩༣༩༣ Khmer ១៣៩៣៩៣ Lao ໑໓໙໓໙໓ Burmese ၁၃၉၃၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 139397, sexy with 139387.

Unicode codepoint
𢂁
CJK Unified Ideograph-22081
U+22081
Other letter (Lo)

UTF-8 encoding: F0 A2 82 81 (4 bytes).

Hex color
#022081
RGB(2, 32, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.129.

Address
0.2.32.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.129

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 139,393 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.