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137,867

137,867 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.).

137,867 (one hundred thirty-seven thousand eight hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21A8B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
7,056
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
768,731
Recamán's sequence
a(493,093) = 137,867
Square (n²)
19,007,309,689
Cube (n³)
2,620,480,764,893,363
Divisor count
2
σ(n) — sum of divisors
137,868
φ(n) — Euler's totient
137,866

Primality

137,867 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137867
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,867)
1 × 137867
First multiples
137,867 · 275,734 (double) · 413,601 · 551,468 · 689,335 · 827,202 · 965,069 · 1,102,936 · 1,240,803 · 1,378,670

Sums & aliquot sequence

As consecutive integers: 68,933 + 68,934

Continued fraction of √n

√137,867 = [371; (3, 3, 1, 1, 16, 1, 2, 2, 1, 1, 2, 2, 12, 2, 1, 1, 1, 1, 105, 2, 8, 2, 4, 2, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred sixty-seven
Ordinal
137867th
Binary
100001101010001011
Octal
415213
Hexadecimal
0x21A8B
Base64
AhqL
One's complement
4,294,829,428 (32-bit)
Scientific notation
1.37867 × 10⁵
As a duration
137,867 s = 1 day, 14 hours, 17 minutes, 47 seconds
In other bases
ternary (3) 21000010012
quaternary (4) 201222023
quinary (5) 13402432
senary (6) 2542135
septenary (7) 1112642
nonary (9) 230105
undecimal (11) 94644
duodecimal (12) 6794b
tridecimal (13) 4a9a2
tetradecimal (14) 38359
pentadecimal (15) 2acb2

As an angle

137,867° = 382 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωξζʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋧
Chinese
一十三萬七千八百六十七
Chinese (financial)
壹拾參萬柒仟捌佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٧٨٦٧ Devanagari १३७८६७ Bengali ১৩৭৮৬৭ Tamil ௧௩௭௮௬௭ Thai ๑๓๗๘๖๗ Tibetan ༡༣༧༨༦༧ Khmer ១៣៧៨៦៧ Lao ໑໓໗໘໖໗ Burmese ၁၃၇၈၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 137869.

Unicode codepoint
𡪋
CJK Unified Ideograph-21A8B
U+21A8B
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 8B (4 bytes).

Hex color
#021A8B
RGB(2, 26, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.139.

Address
0.2.26.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.139

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 137,867 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.