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139,813

139,813 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.).

139,813 (one hundred thirty-nine thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22225.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
318,931
Recamán's sequence
a(489,201) = 139,813
Square (n²)
19,547,674,969
Cube (n³)
2,733,019,080,440,797
Divisor count
2
σ(n) — sum of divisors
139,814
φ(n) — Euler's totient
139,812

Primality

139,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,813)
1 × 139813
First multiples
139,813 · 279,626 (double) · 419,439 · 559,252 · 699,065 · 838,878 · 978,691 · 1,118,504 · 1,258,317 · 1,398,130

Sums & aliquot sequence

As a sum of two squares: 162² + 337²
As consecutive integers: 69,906 + 69,907

Continued fraction of √n

√139,813 = [373; (1, 10, 1, 6, 1, 3, 1, 4, 1, 6, 1, 2, 1, 1, 1, 9, 13, 62, 4, 8, 1, 1, 1, 7, …)]

Representations

In words
one hundred thirty-nine thousand eight hundred thirteen
Ordinal
139813th
Binary
100010001000100101
Octal
421045
Hexadecimal
0x22225
Base64
AiIl
One's complement
4,294,827,482 (32-bit)
Scientific notation
1.39813 × 10⁵
As a duration
139,813 s = 1 day, 14 hours, 50 minutes, 13 seconds
In other bases
ternary (3) 21002210021
quaternary (4) 202020211
quinary (5) 13433223
senary (6) 2555141
septenary (7) 1121422
nonary (9) 232707
undecimal (11) 96053
duodecimal (12) 68ab1
tridecimal (13) 4b83b
tetradecimal (14) 38d49
pentadecimal (15) 2b65d

As an angle

139,813° = 388 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλθωιγʹ
Mayan (base 20)
𝋱·𝋩·𝋪·𝋭
Chinese
一十三萬九千八百一十三
Chinese (financial)
壹拾參萬玖仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٣٩٨١٣ Devanagari १३९८१३ Bengali ১৩৯৮১৩ Tamil ௧௩௯௮௧௩ Thai ๑๓๙๘๑๓ Tibetan ༡༣༩༨༡༣ Khmer ១៣៩៨១៣ Lao ໑໓໙໘໑໓ Burmese ၁၃၉၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢈥
CJK Unified Ideograph-22225
U+22225
Other letter (Lo)

UTF-8 encoding: F0 A2 88 A5 (4 bytes).

Hex color
#022225
RGB(2, 34, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.37.

Address
0.2.34.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.37

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 139,813 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.