number.wiki
Live analysis

138,311

138,311 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.).

138,311 (one hundred thirty-eight thousand three hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C47.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
113,831
Recamán's sequence
a(492,205) = 138,311
Square (n²)
19,129,932,721
Cube (n³)
2,645,880,124,574,231
Divisor count
2
σ(n) — sum of divisors
138,312
φ(n) — Euler's totient
138,310

Primality

138,311 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138311
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,311)
1 × 138311
First multiples
138,311 · 276,622 (double) · 414,933 · 553,244 · 691,555 · 829,866 · 968,177 · 1,106,488 · 1,244,799 · 1,383,110

Sums & aliquot sequence

As consecutive integers: 69,155 + 69,156

Continued fraction of √n

√138,311 = [371; (1, 9, 5, 3, 1, 56, 2, 4, 1, 14, 17, 4, 2, 1, 11, 3, 3, 1, 1, 3, 15, 1, 8, 43, …)]

Representations

In words
one hundred thirty-eight thousand three hundred eleven
Ordinal
138311th
Binary
100001110001000111
Octal
416107
Hexadecimal
0x21C47
Base64
AhxH
One's complement
4,294,828,984 (32-bit)
Scientific notation
1.38311 × 10⁵
As a duration
138,311 s = 1 day, 14 hours, 25 minutes, 11 seconds
In other bases
ternary (3) 21000201122
quaternary (4) 201301013
quinary (5) 13411221
senary (6) 2544155
septenary (7) 1114145
nonary (9) 230648
undecimal (11) 94a08
duodecimal (12) 6805b
tridecimal (13) 4ac54
tetradecimal (14) 38595
pentadecimal (15) 2aeab

As an angle

138,311° = 384 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺
Greek (Milesian)
͵ρλητιαʹ
Mayan (base 20)
𝋱·𝋥·𝋯·𝋫
Chinese
一十三萬八千三百一十一
Chinese (financial)
壹拾參萬捌仟參佰壹拾壹
In other modern scripts
Eastern Arabic ١٣٨٣١١ Devanagari १३८३११ Bengali ১৩৮৩১১ Tamil ௧௩௮௩௧௧ Thai ๑๓๘๓๑๑ Tibetan ༡༣༨༣༡༡ Khmer ១៣៨៣១១ Lao ໑໓໘໓໑໑ Burmese ၁၃၈၃၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡱇
CJK Unified Ideograph-21C47
U+21C47
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 87 (4 bytes).

Hex color
#021C47
RGB(2, 28, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.71.

Address
0.2.28.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.71

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 138,311 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.