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133,873

133,873 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.).

133,873 (one hundred thirty-three thousand eight 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, 0x20AF1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
378,331
Square (n²)
17,921,980,129
Cube (n³)
2,399,269,245,809,617
Divisor count
2
σ(n) — sum of divisors
133,874
φ(n) — Euler's totient
133,872

Primality

133,873 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133873
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,873)
1 × 133873
First multiples
133,873 · 267,746 (double) · 401,619 · 535,492 · 669,365 · 803,238 · 937,111 · 1,070,984 · 1,204,857 · 1,338,730

Sums & aliquot sequence

As a sum of two squares: 113² + 348²
As consecutive integers: 66,936 + 66,937

Continued fraction of √n

√133,873 = [365; (1, 7, 1, 4, 2, 30, 27, 14, 3, 4, 1, 3, 9, 1, 9, 8, 4, 1, 1, 1, 14, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred seventy-three
Ordinal
133873rd
Binary
100000101011110001
Octal
405361
Hexadecimal
0x20AF1
Base64
Agrx
One's complement
4,294,833,422 (32-bit)
Scientific notation
1.33873 × 10⁵
As a duration
133,873 s = 1 day, 13 hours, 11 minutes, 13 seconds
In other bases
ternary (3) 20210122021
quaternary (4) 200223301
quinary (5) 13240443
senary (6) 2511441
septenary (7) 1065205
nonary (9) 223567
undecimal (11) 91643
duodecimal (12) 65581
tridecimal (13) 48c1c
tetradecimal (14) 36b05
pentadecimal (15) 299ed

As an angle

133,873° = 371 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωογʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋭
Chinese
一十三萬三千八百七十三
Chinese (financial)
壹拾參萬參仟捌佰柒拾參
In other modern scripts
Eastern Arabic ١٣٣٨٧٣ Devanagari १३३८७३ Bengali ১৩৩৮৭৩ Tamil ௧௩௩௮௭௩ Thai ๑๓๓๘๗๓ Tibetan ༡༣༣༨༧༣ Khmer ១៣៣៨៧៣ Lao ໑໓໓໘໗໓ Burmese ၁၃၃၈၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133877.

Unicode codepoint
𠫱
CJK Unified Ideograph-20Af1
U+20AF1
Other letter (Lo)

UTF-8 encoding: F0 A0 AB B1 (4 bytes).

Hex color
#020AF1
RGB(2, 10, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.241.

Address
0.2.10.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.241

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 133,873 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.