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137,443

137,443 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.).

137,443 (one hundred thirty-seven thousand four hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x218E3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
1,008
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
344,731
Square (n²)
18,890,578,249
Cube (n³)
2,596,377,746,277,307
Divisor count
2
σ(n) — sum of divisors
137,444
φ(n) — Euler's totient
137,442

Primality

137,443 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137443
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,443)
1 × 137443
First multiples
137,443 · 274,886 (double) · 412,329 · 549,772 · 687,215 · 824,658 · 962,101 · 1,099,544 · 1,236,987 · 1,374,430

Sums & aliquot sequence

As consecutive integers: 68,721 + 68,722

Continued fraction of √n

√137,443 = [370; (1, 2, 1, 2, 1, 15, 2, 1, 1, 2, 6, 3, 2, 1, 1, 3, 1, 7, 5, 4, 10, 1, 246, 4, …)]

Representations

In words
one hundred thirty-seven thousand four hundred forty-three
Ordinal
137443rd
Binary
100001100011100011
Octal
414343
Hexadecimal
0x218E3
Base64
Ahjj
One's complement
4,294,829,852 (32-bit)
Scientific notation
1.37443 × 10⁵
As a duration
137,443 s = 1 day, 14 hours, 10 minutes, 43 seconds
In other bases
ternary (3) 20222112111
quaternary (4) 201203203
quinary (5) 13344233
senary (6) 2540151
septenary (7) 1111465
nonary (9) 228474
undecimal (11) 94299
duodecimal (12) 67657
tridecimal (13) 4a737
tetradecimal (14) 38135
pentadecimal (15) 2aacd

As an angle

137,443° = 381 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυμγʹ
Mayan (base 20)
𝋱·𝋣·𝋬·𝋣
Chinese
一十三萬七千四百四十三
Chinese (financial)
壹拾參萬柒仟肆佰肆拾參
In other modern scripts
Eastern Arabic ١٣٧٤٤٣ Devanagari १३७४४३ Bengali ১৩৭৪৪৩ Tamil ௧௩௭௪௪௩ Thai ๑๓๗๔๔๓ Tibetan ༡༣༧༤༤༣ Khmer ១៣៧៤៤៣ Lao ໑໓໗໔໔໓ Burmese ၁၃၇၄၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137447, sexy with 137437.

Unicode codepoint
𡣣
CJK Unified Ideograph-218E3
U+218E3
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 A3 (4 bytes).

Hex color
#0218E3
RGB(2, 24, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.227.

Address
0.2.24.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.227

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 137,443 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.