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133,633

133,633 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.).

133,633 (one hundred thirty-three thousand six hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A01.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
486
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
336,331
Square (n²)
17,857,778,689
Cube (n³)
2,386,388,539,547,137
Divisor count
2
σ(n) — sum of divisors
133,634
φ(n) — Euler's totient
133,632

Primality

133,633 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133633
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,633)
1 × 133633
First multiples
133,633 · 267,266 (double) · 400,899 · 534,532 · 668,165 · 801,798 · 935,431 · 1,069,064 · 1,202,697 · 1,336,330

Sums & aliquot sequence

As a sum of two squares: 153² + 332²
As consecutive integers: 66,816 + 66,817

Continued fraction of √n

√133,633 = [365; (1, 1, 3, 1, 3, 2, 4, 2, 1, 29, 1, 3, 2, 2, 3, 2, 1, 1, 31, 5, 21, 1, 21, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred thirty-three
Ordinal
133633rd
Binary
100000101000000001
Octal
405001
Hexadecimal
0x20A01
Base64
AgoB
One's complement
4,294,833,662 (32-bit)
Scientific notation
1.33633 × 10⁵
As a duration
133,633 s = 1 day, 13 hours, 7 minutes, 13 seconds
In other bases
ternary (3) 20210022101
quaternary (4) 200220001
quinary (5) 13234013
senary (6) 2510401
septenary (7) 1064413
nonary (9) 223271
undecimal (11) 91445
duodecimal (12) 65401
tridecimal (13) 48a96
tetradecimal (14) 369b3
pentadecimal (15) 298dd

As an angle

133,633° = 371 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχλγʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋭
Chinese
一十三萬三千六百三十三
Chinese (financial)
壹拾參萬參仟陸佰參拾參
In other modern scripts
Eastern Arabic ١٣٣٦٣٣ Devanagari १३३६३३ Bengali ১৩৩৬৩৩ Tamil ௧௩௩௬௩௩ Thai ๑๓๓๖๓๓ Tibetan ༡༣༣༦༣༣ Khmer ១៣៣៦៣៣ Lao ໑໓໓໖໓໓ Burmese ၁၃၃၆၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133631.

Unicode codepoint
𠨁
CJK Unified Ideograph-20A01
U+20A01
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 81 (4 bytes).

Hex color
#020A01
RGB(2, 10, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.1.

Address
0.2.10.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.1

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 133,633 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 133633 first appears in π at position 873,983 of the decimal expansion (the 873,983ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.