number.wiki
Live analysis

133,084

133,084 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.).

133,084 (one hundred thirty-three thousand eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7³ × 97. Its proper divisors sum to 141,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207DC.

Abundant Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
480,331
Square (n²)
17,711,351,056
Cube (n³)
2,357,097,443,936,704
Divisor count
24
σ(n) — sum of divisors
274,400
φ(n) — Euler's totient
56,448
Sum of prime factors
122

Primality

Prime factorization: 2 2 × 7 3 × 97

Nearest primes: 133,073 (−11) · 133,087 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 97 · 98 · 194 · 196 · 343 · 388 · 679 · 686 · 1358 · 1372 · 2716 · 4753 · 9506 · 19012 · 33271 · 66542 (half) · 133084
Aliquot sum (sum of proper divisors): 141,316
Factor pairs (a × b = 133,084)
1 × 133084
2 × 66542
4 × 33271
7 × 19012
14 × 9506
28 × 4753
49 × 2716
97 × 1372
98 × 1358
194 × 686
196 × 679
343 × 388
First multiples
133,084 · 266,168 (double) · 399,252 · 532,336 · 665,420 · 798,504 · 931,588 · 1,064,672 · 1,197,756 · 1,330,840

Sums & aliquot sequence

As consecutive integers: 19,009 + 19,010 + … + 19,015 16,632 + 16,633 + … + 16,639 2,692 + 2,693 + … + 2,740 2,349 + 2,350 + … + 2,404
Aliquot sequence: 133,084 141,316 149,884 158,564 164,626 143,534 76,906 38,456 47,944 49,076 36,814 19,346 11,434 5,720 9,400 12,920 19,480 — unresolved within range

Continued fraction of √n

√133,084 = [364; (1, 4, 5, 1, 2, 6, 9, 1, 1, 3, 30, 8, 1, 1, 4, 2, 3, 3, 2, 3, 4, 1, 2, 19, …)]

Representations

In words
one hundred thirty-three thousand eighty-four
Ordinal
133084th
Binary
100000011111011100
Octal
403734
Hexadecimal
0x207DC
Base64
Agfc
One's complement
4,294,834,211 (32-bit)
Scientific notation
1.33084 × 10⁵
As a duration
133,084 s = 1 day, 12 hours, 58 minutes, 4 seconds
In other bases
ternary (3) 20202120001
quaternary (4) 200133130
quinary (5) 13224314
senary (6) 2504044
septenary (7) 1063000
nonary (9) 222501
undecimal (11) 90a96
duodecimal (12) 65024
tridecimal (13) 48763
tetradecimal (14) 36700
pentadecimal (15) 29674

As an angle

133,084° = 369 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγπδʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋤
Chinese
一十三萬三千零八十四
Chinese (financial)
壹拾參萬參仟零捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٠٨٤ Devanagari १३३०८४ Bengali ১৩৩০৮৪ Tamil ௧௩௩௦௮௪ Thai ๑๓๓๐๘๔ Tibetan ༡༣༣༠༨༤ Khmer ១៣៣០៨៤ Lao ໑໓໓໐໘໔ Burmese ၁၃၃၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133084, here are decompositions:

  • 11 + 133073 = 133084
  • 71 + 133013 = 133084
  • 113 + 132971 = 133084
  • 131 + 132953 = 133084
  • 137 + 132947 = 133084
  • 173 + 132911 = 133084
  • 191 + 132893 = 133084
  • 197 + 132887 = 133084

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟜
CJK Unified Ideograph-207Dc
U+207DC
Other letter (Lo)

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

Hex color
#0207DC
RGB(2, 7, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.220.

Address
0.2.7.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.220

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 133,084 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 133084 first appears in π at position 517,978 of the decimal expansion (the 517,978ordinal-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