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139,301

139,301 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.).

139,301 (one hundred thirty-nine thousand three hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22025.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
103,931
Recamán's sequence
a(490,225) = 139,301
Square (n²)
19,404,768,601
Cube (n³)
2,703,103,670,887,901
Divisor count
2
σ(n) — sum of divisors
139,302
φ(n) — Euler's totient
139,300

Primality

139,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,301)
1 × 139301
First multiples
139,301 · 278,602 (double) · 417,903 · 557,204 · 696,505 · 835,806 · 975,107 · 1,114,408 · 1,253,709 · 1,393,010

Sums & aliquot sequence

As a sum of two squares: 49² + 370²
As consecutive integers: 69,650 + 69,651

Continued fraction of √n

√139,301 = [373; (4, 2, 1, 20, 1, 1, 1, 2, 1, 6, 8, 4, 5, 4, 1, 5, 1, 3, 1, 25, 1, 6, 2, 2, …)]

Representations

In words
one hundred thirty-nine thousand three hundred one
Ordinal
139301st
Binary
100010000000100101
Octal
420045
Hexadecimal
0x22025
Base64
AiAl
One's complement
4,294,827,994 (32-bit)
Scientific notation
1.39301 × 10⁵
As a duration
139,301 s = 1 day, 14 hours, 41 minutes, 41 seconds
In other bases
ternary (3) 21002002022
quaternary (4) 202000211
quinary (5) 13424201
senary (6) 2552525
septenary (7) 1120061
nonary (9) 232068
undecimal (11) 95728
duodecimal (12) 68745
tridecimal (13) 4b536
tetradecimal (14) 38aa1
pentadecimal (15) 2b41b

As an angle

139,301° = 386 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλθταʹ
Mayan (base 20)
𝋱·𝋨·𝋥·𝋡
Chinese
一十三萬九千三百零一
Chinese (financial)
壹拾參萬玖仟參佰零壹
In other modern scripts
Eastern Arabic ١٣٩٣٠١ Devanagari १३९३०१ Bengali ১৩৯৩০১ Tamil ௧௩௯௩௦௧ Thai ๑๓๙๓๐๑ Tibetan ༡༣༩༣༠༡ Khmer ១៣៩៣០១ Lao ໑໓໙໓໐໑ Burmese ၁၃၉၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 139303, cousin with 139297.

Unicode codepoint
𢀥
CJK Unified Ideograph-22025
U+22025
Other letter (Lo)

UTF-8 encoding: F0 A2 80 A5 (4 bytes).

Hex color
#022025
RGB(2, 32, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.37.

Address
0.2.32.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.37

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 139,301 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.