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137,273

137,273 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.).

137,273 (one hundred thirty-seven thousand two hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21839.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
372,731
Recamán's sequence
a(37,350) = 137,273
Square (n²)
18,843,876,529
Cube (n³)
2,586,755,462,765,417
Divisor count
2
σ(n) — sum of divisors
137,274
φ(n) — Euler's totient
137,272

Primality

137,273 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137273
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,273)
1 × 137273
First multiples
137,273 · 274,546 (double) · 411,819 · 549,092 · 686,365 · 823,638 · 960,911 · 1,098,184 · 1,235,457 · 1,372,730

Sums & aliquot sequence

As a sum of two squares: 43² + 368²
As consecutive integers: 68,636 + 68,637

Continued fraction of √n

√137,273 = [370; (1, 1, 66, 1, 6, 2, 1, 5, 2, 3, 1, 4, 1, 2, 17, 1, 2, 1, 1, 3, 3, 1, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand two hundred seventy-three
Ordinal
137273rd
Binary
100001100000111001
Octal
414071
Hexadecimal
0x21839
Base64
Ahg5
One's complement
4,294,830,022 (32-bit)
Scientific notation
1.37273 × 10⁵
As a duration
137,273 s = 1 day, 14 hours, 7 minutes, 53 seconds
In other bases
ternary (3) 20222022012
quaternary (4) 201200321
quinary (5) 13343043
senary (6) 2535305
septenary (7) 1111133
nonary (9) 228265
undecimal (11) 94154
duodecimal (12) 67535
tridecimal (13) 4a636
tetradecimal (14) 38053
pentadecimal (15) 2aa18

As an angle

137,273° = 381 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσογʹ
Mayan (base 20)
𝋱·𝋣·𝋣·𝋭
Chinese
一十三萬七千二百七十三
Chinese (financial)
壹拾參萬柒仟貳佰柒拾參
In other modern scripts
Eastern Arabic ١٣٧٢٧٣ Devanagari १३७२७३ Bengali ১৩৭২৭৩ Tamil ௧௩௭௨௭௩ Thai ๑๓๗๒๗๓ Tibetan ༡༣༧༢༧༣ Khmer ១៣៧២៧៣ Lao ໑໓໗໒໗໓ Burmese ၁၃၇၂၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137279.

Unicode codepoint
𡠹
CJK Unified Ideograph-21839
U+21839
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 B9 (4 bytes).

Hex color
#021839
RGB(2, 24, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.57.

Address
0.2.24.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.57

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 137,273 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.