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133,583

133,583 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.).

133,583 (one hundred thirty-three thousand five hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x209CF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Safe Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,080
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
385,331
Square (n²)
17,844,417,889
Cube (n³)
2,383,710,874,866,287
Divisor count
2
σ(n) — sum of divisors
133,584
φ(n) — Euler's totient
133,582

Primality

133,583 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133583
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,583)
1 × 133583
First multiples
133,583 · 267,166 (double) · 400,749 · 534,332 · 667,915 · 801,498 · 935,081 · 1,068,664 · 1,202,247 · 1,335,830

Sums & aliquot sequence

As consecutive integers: 66,791 + 66,792

Continued fraction of √n

√133,583 = [365; (2, 24, 1, 2, 2, 2, 4, 1, 2, 1, 3, 1, 1, 1, 103, 1, 3, 1, 1, 1, 2, 1, 22, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred eighty-three
Ordinal
133583rd
Binary
100000100111001111
Octal
404717
Hexadecimal
0x209CF
Base64
AgnP
One's complement
4,294,833,712 (32-bit)
Scientific notation
1.33583 × 10⁵
As a duration
133,583 s = 1 day, 13 hours, 6 minutes, 23 seconds
In other bases
ternary (3) 20210020112
quaternary (4) 200213033
quinary (5) 13233313
senary (6) 2510235
septenary (7) 1064312
nonary (9) 223215
undecimal (11) 913aa
duodecimal (12) 6537b
tridecimal (13) 48a58
tetradecimal (14) 36979
pentadecimal (15) 298a8

As an angle

133,583° = 371 × 360° + 23°
23° ≈ 0.401 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφπγʹ
Mayan (base 20)
𝋰·𝋭·𝋳·𝋣
Chinese
一十三萬三千五百八十三
Chinese (financial)
壹拾參萬參仟伍佰捌拾參
In other modern scripts
Eastern Arabic ١٣٣٥٨٣ Devanagari १३३५८३ Bengali ১৩৩৫৮৩ Tamil ௧௩௩௫௮௩ Thai ๑๓๓๕๘๓ Tibetan ༡༣༣༥༨༣ Khmer ១៣៣៥៨៣ Lao ໑໓໓໕໘໓ Burmese ၁၃၃၅၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠧏
CJK Unified Ideograph-209Cf
U+209CF
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 8F (4 bytes).

Hex color
#0209CF
RGB(2, 9, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.207.

Address
0.2.9.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.207

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 133,583 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 133583 first appears in π at position 349,769 of the decimal expansion (the 349,769ordinal-suffix:th 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.