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133,831

133,831 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.).

133,831 (one hundred thirty-three thousand eight hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20AC7.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
138,331
Square (n²)
17,910,736,561
Cube (n³)
2,397,011,784,695,191
Divisor count
2
σ(n) — sum of divisors
133,832
φ(n) — Euler's totient
133,830

Primality

133,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,831)
1 × 133831
First multiples
133,831 · 267,662 (double) · 401,493 · 535,324 · 669,155 · 802,986 · 936,817 · 1,070,648 · 1,204,479 · 1,338,310

Sums & aliquot sequence

As consecutive integers: 66,915 + 66,916

Continued fraction of √n

√133,831 = [365; (1, 4, 1, 5, 1, 7, 3, 1, 1, 1, 1, 1, 65, 1, 8, 2, 1, 1, 7, 1, 4, 2, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred thirty-one
Ordinal
133831st
Binary
100000101011000111
Octal
405307
Hexadecimal
0x20AC7
Base64
AgrH
One's complement
4,294,833,464 (32-bit)
Scientific notation
1.33831 × 10⁵
As a duration
133,831 s = 1 day, 13 hours, 10 minutes, 31 seconds
In other bases
ternary (3) 20210120201
quaternary (4) 200223013
quinary (5) 13240311
senary (6) 2511331
septenary (7) 1065115
nonary (9) 223521
undecimal (11) 91605
duodecimal (12) 65547
tridecimal (13) 48bb9
tetradecimal (14) 36ab5
pentadecimal (15) 299c1

As an angle

133,831° = 371 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγωλαʹ
Mayan (base 20)
𝋰·𝋮·𝋫·𝋫
Chinese
一十三萬三千八百三十一
Chinese (financial)
壹拾參萬參仟捌佰參拾壹
In other modern scripts
Eastern Arabic ١٣٣٨٣١ Devanagari १३३८३१ Bengali ১৩৩৮৩১ Tamil ௧௩௩௮௩௧ Thai ๑๓๓๘๓๑ Tibetan ༡༣༣༨༣༡ Khmer ១៣៣៨៣១ Lao ໑໓໓໘໓໑ Burmese ၁၃၃၈၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠫇
CJK Unified Ideograph-20Ac7
U+20AC7
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 87 (4 bytes).

Hex color
#020AC7
RGB(2, 10, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.199.

Address
0.2.10.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.199

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 133,831 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.