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138,071

138,071 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.).

138,071 (one hundred thirty-eight thousand seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B57.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
170,831
Recamán's sequence
a(492,685) = 138,071
Square (n²)
19,063,601,041
Cube (n³)
2,632,130,459,331,911
Divisor count
2
σ(n) — sum of divisors
138,072
φ(n) — Euler's totient
138,070

Primality

138,071 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138071
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,071)
1 × 138071
First multiples
138,071 · 276,142 (double) · 414,213 · 552,284 · 690,355 · 828,426 · 966,497 · 1,104,568 · 1,242,639 · 1,380,710

Sums & aliquot sequence

As consecutive integers: 69,035 + 69,036

Continued fraction of √n

√138,071 = [371; (1, 1, 2, 1, 1, 1, 23, 2, 1, 13, 2, 1, 5, 1, 3, 1, 2, 2, 3, 2, 19, 8, 3, 2, …)]

Representations

In words
one hundred thirty-eight thousand seventy-one
Ordinal
138071st
Binary
100001101101010111
Octal
415527
Hexadecimal
0x21B57
Base64
AhtX
One's complement
4,294,829,224 (32-bit)
Scientific notation
1.38071 × 10⁵
As a duration
138,071 s = 1 day, 14 hours, 21 minutes, 11 seconds
In other bases
ternary (3) 21000101202
quaternary (4) 201231113
quinary (5) 13404241
senary (6) 2543115
septenary (7) 1113353
nonary (9) 230352
undecimal (11) 9480a
duodecimal (12) 67a9b
tridecimal (13) 4aacb
tetradecimal (14) 38463
pentadecimal (15) 2ad9b

As an angle

138,071° = 383 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληοαʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋫
Chinese
一十三萬八千零七十一
Chinese (financial)
壹拾參萬捌仟零柒拾壹
In other modern scripts
Eastern Arabic ١٣٨٠٧١ Devanagari १३८०७१ Bengali ১৩৮০৭১ Tamil ௧௩௮௦௭௧ Thai ๑๓๘๐๗๑ Tibetan ༡༣༨༠༧༡ Khmer ១៣៨០៧១ Lao ໑໓໘໐໗໑ Burmese ၁၃၈၀၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138077.

Unicode codepoint
𡭗
CJK Unified Ideograph-21B57
U+21B57
Other letter (Lo)

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

Hex color
#021B57
RGB(2, 27, 87)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.87.

Address
0.2.27.87
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.87

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 138,071 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.