number.wiki
Live analysis

133,493

133,493 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.).

133,493 (one hundred thirty-three thousand four hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20975.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
972
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
394,331
Recamán's sequence
a(35,646) = 133,493
Square (n²)
17,820,381,049
Cube (n³)
2,378,896,127,374,157
Divisor count
2
σ(n) — sum of divisors
133,494
φ(n) — Euler's totient
133,492

Primality

133,493 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133493
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,493)
1 × 133493
First multiples
133,493 · 266,986 (double) · 400,479 · 533,972 · 667,465 · 800,958 · 934,451 · 1,067,944 · 1,201,437 · 1,334,930

Sums & aliquot sequence

As a sum of two squares: 73² + 358²
As consecutive integers: 66,746 + 66,747

Continued fraction of √n

√133,493 = [365; (2, 1, 2, 1, 1, 1, 3, 2, 4, 2, 1, 1, 182, 10, 1, 9, 9, 1, 10, 182, 1, 1, 2, 4, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred ninety-three
Ordinal
133493rd
Binary
100000100101110101
Octal
404565
Hexadecimal
0x20975
Base64
Agl1
One's complement
4,294,833,802 (32-bit)
Scientific notation
1.33493 × 10⁵
As a duration
133,493 s = 1 day, 13 hours, 4 minutes, 53 seconds
In other bases
ternary (3) 20210010012
quaternary (4) 200211311
quinary (5) 13232433
senary (6) 2510005
septenary (7) 1064123
nonary (9) 223105
undecimal (11) 91328
duodecimal (12) 65305
tridecimal (13) 489b9
tetradecimal (14) 36913
pentadecimal (15) 29848

As an angle

133,493° = 370 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυϟγʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋭
Chinese
一十三萬三千四百九十三
Chinese (financial)
壹拾參萬參仟肆佰玖拾參
In other modern scripts
Eastern Arabic ١٣٣٤٩٣ Devanagari १३३४९३ Bengali ১৩৩৪৯৩ Tamil ௧௩௩௪௯௩ Thai ๑๓๓๔๙๓ Tibetan ༡༣༣༤༩༣ Khmer ១៣៣៤៩៣ Lao ໑໓໓໔໙໓ Burmese ၁၃၃၄၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133499.

Unicode codepoint
𠥵
CJK Unified Ideograph-20975
U+20975
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 B5 (4 bytes).

Hex color
#020975
RGB(2, 9, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.117.

Address
0.2.9.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.117

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 133,493 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.