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133,963

133,963 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.).

133,963 (one hundred thirty-three thousand nine hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B4B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,458
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
369,331
Square (n²)
17,946,085,369
Cube (n³)
2,404,111,434,287,347
Divisor count
2
σ(n) — sum of divisors
133,964
φ(n) — Euler's totient
133,962

Primality

133,963 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133963
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,963)
1 × 133963
First multiples
133,963 · 267,926 (double) · 401,889 · 535,852 · 669,815 · 803,778 · 937,741 · 1,071,704 · 1,205,667 · 1,339,630

Sums & aliquot sequence

As consecutive integers: 66,981 + 66,982

Continued fraction of √n

√133,963 = [366; (104, 1, 1, 2, 1, 14, 4, 2, 4, 1, 1, 3, 6, 1, 4, 1, 2, 1, 1, 1, 3, 2, 10, 1, …)]

Representations

In words
one hundred thirty-three thousand nine hundred sixty-three
Ordinal
133963rd
Binary
100000101101001011
Octal
405513
Hexadecimal
0x20B4B
Base64
AgtL
One's complement
4,294,833,332 (32-bit)
Scientific notation
1.33963 × 10⁵
As a duration
133,963 s = 1 day, 13 hours, 12 minutes, 43 seconds
In other bases
ternary (3) 20210202121
quaternary (4) 200231023
quinary (5) 13241323
senary (6) 2512111
septenary (7) 1065364
nonary (9) 223677
undecimal (11) 91715
duodecimal (12) 65637
tridecimal (13) 48c8b
tetradecimal (14) 36b6b
pentadecimal (15) 29a5d

As an angle

133,963° = 372 × 360° + 43°
43° ≈ 0.75 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡξγʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋣
Chinese
一十三萬三千九百六十三
Chinese (financial)
壹拾參萬參仟玖佰陸拾參
In other modern scripts
Eastern Arabic ١٣٣٩٦٣ Devanagari १३३९६३ Bengali ১৩৩৯৬৩ Tamil ௧௩௩௯௬௩ Thai ๑๓๓๙๖๓ Tibetan ༡༣༣༩༦༣ Khmer ១៣៣៩៦៣ Lao ໑໓໓໙໖໓ Burmese ၁၃၃၉၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133967.

Unicode codepoint
𠭋
CJK Unified Ideograph-20B4B
U+20B4B
Other letter (Lo)

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

Hex color
#020B4B
RGB(2, 11, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.75.

Address
0.2.11.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.75

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 133,963 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.