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133,993

133,993 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.).

133,993 (one hundred thirty-three thousand nine 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, 0x20B69.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,187
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
399,331
Square (n²)
17,954,124,049
Cube (n³)
2,405,726,943,697,657
Divisor count
2
σ(n) — sum of divisors
133,994
φ(n) — Euler's totient
133,992

Primality

133,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,993)
1 × 133993
First multiples
133,993 · 267,986 (double) · 401,979 · 535,972 · 669,965 · 803,958 · 937,951 · 1,071,944 · 1,205,937 · 1,339,930

Sums & aliquot sequence

As a sum of two squares: 152² + 333²
As consecutive integers: 66,996 + 66,997

Continued fraction of √n

√133,993 = [366; (19, 1, 3, 1, 1, 1, 8, 2, 1, 1, 8, 1, 2, 22, 1, 1, 7, 8, 1, 2, 5, 26, 1, 12, …)]

Representations

In words
one hundred thirty-three thousand nine hundred ninety-three
Ordinal
133993rd
Binary
100000101101101001
Octal
405551
Hexadecimal
0x20B69
Base64
Agtp
One's complement
4,294,833,302 (32-bit)
Scientific notation
1.33993 × 10⁵
As a duration
133,993 s = 1 day, 13 hours, 13 minutes, 13 seconds
In other bases
ternary (3) 20210210201
quaternary (4) 200231221
quinary (5) 13241433
senary (6) 2512201
septenary (7) 1065436
nonary (9) 223721
undecimal (11) 91742
duodecimal (12) 65661
tridecimal (13) 48cb2
tetradecimal (14) 36b8d
pentadecimal (15) 29a7d

As an angle

133,993° = 372 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡϟγʹ
Mayan (base 20)
𝋰·𝋮·𝋳·𝋭
Chinese
一十三萬三千九百九十三
Chinese (financial)
壹拾參萬參仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٣٣٩٩٣ Devanagari १३३९९३ Bengali ১৩৩৯৯৩ Tamil ௧௩௩௯௯௩ Thai ๑๓๓๙๙๓ Tibetan ༡༣༣༩༩༣ Khmer ១៣៣៩៩៣ Lao ໑໓໓໙໙໓ Burmese ၁၃၃၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133999.

Unicode codepoint
𠭩
CJK Unified Ideograph-20B69
U+20B69
Other letter (Lo)

UTF-8 encoding: F0 A0 AD A9 (4 bytes).

Hex color
#020B69
RGB(2, 11, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.105.

Address
0.2.11.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.105

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 133,993 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.