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138,007

138,007 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.).

138,007 (one hundred thirty-eight thousand seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B17.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
700,831
Recamán's sequence
a(492,813) = 138,007
Square (n²)
19,045,932,049
Cube (n³)
2,628,471,944,286,343
Divisor count
2
σ(n) — sum of divisors
138,008
φ(n) — Euler's totient
138,006

Primality

138,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138007
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,007)
1 × 138007
First multiples
138,007 · 276,014 (double) · 414,021 · 552,028 · 690,035 · 828,042 · 966,049 · 1,104,056 · 1,242,063 · 1,380,070

Sums & aliquot sequence

As consecutive integers: 69,003 + 69,004

Continued fraction of √n

√138,007 = [371; (2, 34, 1, 7, 2, 1, 1, 1, 11, 6, 247, 2, 105, 1, 1, 1, 3, 1, 4, 3, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand seven
Ordinal
138007th
Binary
100001101100010111
Octal
415427
Hexadecimal
0x21B17
Base64
AhsX
One's complement
4,294,829,288 (32-bit)
Scientific notation
1.38007 × 10⁵
As a duration
138,007 s = 1 day, 14 hours, 20 minutes, 7 seconds
In other bases
ternary (3) 21000022101
quaternary (4) 201230113
quinary (5) 13404012
senary (6) 2542531
septenary (7) 1113232
nonary (9) 230271
undecimal (11) 94761
duodecimal (12) 67a47
tridecimal (13) 4aa7c
tetradecimal (14) 38419
pentadecimal (15) 2ad57

As an angle

138,007° = 383 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληζʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋧
Chinese
一十三萬八千零七
Chinese (financial)
壹拾參萬捌仟零柒
In other modern scripts
Eastern Arabic ١٣٨٠٠٧ Devanagari १३८००७ Bengali ১৩৮০০৭ Tamil ௧௩௮௦௦௭ Thai ๑๓๘๐๐๗ Tibetan ༡༣༨༠༠༧ Khmer ១៣៨០០៧ Lao ໑໓໘໐໐໗ Burmese ၁၃၈၀၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡬗
CJK Unified Ideograph-21B17
U+21B17
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 97 (4 bytes).

Hex color
#021B17
RGB(2, 27, 23)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.23.

Address
0.2.27.23
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.23

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 138,007 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.