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139,313

139,313 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.).

139,313 (one hundred thirty-nine thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22031.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
313,931
Recamán's sequence
a(490,201) = 139,313
Square (n²)
19,408,111,969
Cube (n³)
2,703,802,302,737,297
Divisor count
2
σ(n) — sum of divisors
139,314
φ(n) — Euler's totient
139,312

Primality

139,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,313)
1 × 139313
First multiples
139,313 · 278,626 (double) · 417,939 · 557,252 · 696,565 · 835,878 · 975,191 · 1,114,504 · 1,253,817 · 1,393,130

Sums & aliquot sequence

As a sum of two squares: 68² + 367²
As consecutive integers: 69,656 + 69,657

Continued fraction of √n

√139,313 = [373; (4, 17, 1, 22, 2, 1, 1, 1, 1, 2, 2, 13, 1, 1, 1, 67, 4, 1, 8, 1, 1, 1, 5, 1, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand three hundred thirteen
Ordinal
139313th
Binary
100010000000110001
Octal
420061
Hexadecimal
0x22031
Base64
AiAx
One's complement
4,294,827,982 (32-bit)
Scientific notation
1.39313 × 10⁵
As a duration
139,313 s = 1 day, 14 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 21002002202
quaternary (4) 202000301
quinary (5) 13424223
senary (6) 2552545
septenary (7) 1120106
nonary (9) 232082
undecimal (11) 95739
duodecimal (12) 68755
tridecimal (13) 4b545
tetradecimal (14) 38aad
pentadecimal (15) 2b428

As an angle

139,313° = 386 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλθτιγʹ
Mayan (base 20)
𝋱·𝋨·𝋥·𝋭
Chinese
一十三萬九千三百一十三
Chinese (financial)
壹拾參萬玖仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٣٩٣١٣ Devanagari १३९३१३ Bengali ১৩৯৩১৩ Tamil ௧௩௯௩௧௩ Thai ๑๓๙๓๑๓ Tibetan ༡༣༩༣༡༣ Khmer ១៣៩៣១៣ Lao ໑໓໙໓໑໓ Burmese ၁၃၉၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 139309.

Unicode codepoint
𢀱
CJK Unified Ideograph-22031
U+22031
Other letter (Lo)

UTF-8 encoding: F0 A2 80 B1 (4 bytes).

Hex color
#022031
RGB(2, 32, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.49.

Address
0.2.32.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.49

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 139,313 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.