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133,087

133,087 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.).

133,087 (one hundred thirty-three thousand eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207DF.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
780,331
Square (n²)
17,712,149,569
Cube (n³)
2,357,256,849,689,503
Divisor count
2
σ(n) — sum of divisors
133,088
φ(n) — Euler's totient
133,086

Primality

133,087 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133087
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,087)
1 × 133087
First multiples
133,087 · 266,174 (double) · 399,261 · 532,348 · 665,435 · 798,522 · 931,609 · 1,064,696 · 1,197,783 · 1,330,870

Sums & aliquot sequence

As consecutive integers: 66,543 + 66,544

Continued fraction of √n

√133,087 = [364; (1, 4, 3, 2, 6, 1, 14, 1, 242, 3, 1, 2, 3, 21, 1, 4, 3, 80, 1, 3, 8, 1, 65, 2, …)]

Representations

In words
one hundred thirty-three thousand eighty-seven
Ordinal
133087th
Binary
100000011111011111
Octal
403737
Hexadecimal
0x207DF
Base64
Agff
One's complement
4,294,834,208 (32-bit)
Scientific notation
1.33087 × 10⁵
As a duration
133,087 s = 1 day, 12 hours, 58 minutes, 7 seconds
In other bases
ternary (3) 20202120011
quaternary (4) 200133133
quinary (5) 13224322
senary (6) 2504051
septenary (7) 1063003
nonary (9) 222504
undecimal (11) 90a99
duodecimal (12) 65027
tridecimal (13) 48766
tetradecimal (14) 36703
pentadecimal (15) 29677

As an angle

133,087° = 369 × 360° + 247°
247° ≈ 4.311 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγπζʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋧
Chinese
一十三萬三千零八十七
Chinese (financial)
壹拾參萬參仟零捌拾柒
In other modern scripts
Eastern Arabic ١٣٣٠٨٧ Devanagari १३३०८७ Bengali ১৩৩০৮৭ Tamil ௧௩௩௦௮௭ Thai ๑๓๓๐๘๗ Tibetan ༡༣༣༠༨༧ Khmer ១៣៣០៨៧ Lao ໑໓໓໐໘໗ Burmese ၁၃၃၀၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠟟
CJK Unified Ideograph-207Df
U+207DF
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 9F (4 bytes).

Hex color
#0207DF
RGB(2, 7, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.223.

Address
0.2.7.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.223

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 133,087 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 133087 first appears in π at position 881,010 of the decimal expansion (the 881,010ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.