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133,088

133,088 is a composite number, even.

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.).

133,088 (one hundred thirty-three thousand eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,159. Written other ways, in hexadecimal, 0x207E0.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
880,331
Square (n²)
17,712,415,744
Cube (n³)
2,357,309,986,537,472
Divisor count
12
σ(n) — sum of divisors
262,080
φ(n) — Euler's totient
66,528
Sum of prime factors
4,169

Primality

Prime factorization: 2 5 × 4159

Nearest primes: 133,087 (−1) · 133,097 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4159 · 8318 · 16636 · 33272 · 66544 (half) · 133088
Aliquot sum (sum of proper divisors): 128,992
Factor pairs (a × b = 133,088)
1 × 133088
2 × 66544
4 × 33272
8 × 16636
16 × 8318
32 × 4159
First multiples
133,088 · 266,176 (double) · 399,264 · 532,352 · 665,440 · 798,528 · 931,616 · 1,064,704 · 1,197,792 · 1,330,880

Sums & aliquot sequence

As consecutive integers: 2,048 + 2,049 + … + 2,111
Aliquot sequence: 133,088 128,992 135,608 158,152 144,788 144,844 150,416 206,704 193,816 221,624 226,096 246,096 443,034 529,158 712,698 946,182 1,007,610 — unresolved within range

Continued fraction of √n

√133,088 = [364; (1, 4, 3, 17, 2, 14, 2, 2, 8, 1, 4, 1, 103, 2, 2, 22, 2, 2, 103, 1, 4, 1, 8, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eighty-eight
Ordinal
133088th
Binary
100000011111100000
Octal
403740
Hexadecimal
0x207E0
Base64
Agfg
One's complement
4,294,834,207 (32-bit)
Scientific notation
1.33088 × 10⁵
As a duration
133,088 s = 1 day, 12 hours, 58 minutes, 8 seconds
In other bases
ternary (3) 20202120012
quaternary (4) 200133200
quinary (5) 13224323
senary (6) 2504052
septenary (7) 1063004
nonary (9) 222505
undecimal (11) 90a9a
duodecimal (12) 65028
tridecimal (13) 48767
tetradecimal (14) 36704
pentadecimal (15) 29678
Palindromic in base 6

As an angle

133,088° = 369 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγπηʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋨
Chinese
一十三萬三千零八十八
Chinese (financial)
壹拾參萬參仟零捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٠٨٨ Devanagari १३३०८८ Bengali ১৩৩০৮৮ Tamil ௧௩௩௦௮௮ Thai ๑๓๓๐๘๘ Tibetan ༡༣༣༠༨༨ Khmer ១៣៣០៨៨ Lao ໑໓໓໐໘໘ Burmese ၁၃၃၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133088, here are decompositions:

  • 19 + 133069 = 133088
  • 37 + 133051 = 133088
  • 127 + 132961 = 133088
  • 139 + 132949 = 133088
  • 229 + 132859 = 133088
  • 271 + 132817 = 133088
  • 331 + 132757 = 133088
  • 337 + 132751 = 133088

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟠
CJK Unified Ideograph-207E0
U+207E0
Other letter (Lo)

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

Hex color
#0207E0
RGB(2, 7, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.224.

Address
0.2.7.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.224

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 133,088 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 133088 first appears in π at position 25,667 of the decimal expansion (the 25,667ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.