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133,884

133,884 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.).

133,884 (one hundred thirty-three thousand eight hundred eighty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,719. Its proper divisors sum to 204,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AFC.

Abundant Number Cube-Free Odious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
488,331
Square (n²)
17,924,925,456
Cube (n³)
2,399,860,719,751,104
Divisor count
18
σ(n) — sum of divisors
338,520
φ(n) — Euler's totient
44,616
Sum of prime factors
3,729

Primality

Prime factorization: 2 2 × 3 2 × 3719

Nearest primes: 133,877 (−7) · 133,919 (+35)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3719 · 7438 · 11157 · 14876 · 22314 · 33471 · 44628 · 66942 (half) · 133884
Aliquot sum (sum of proper divisors): 204,636
Factor pairs (a × b = 133,884)
1 × 133884
2 × 66942
3 × 44628
4 × 33471
6 × 22314
9 × 14876
12 × 11157
18 × 7438
36 × 3719
First multiples
133,884 · 267,768 (double) · 401,652 · 535,536 · 669,420 · 803,304 · 937,188 · 1,071,072 · 1,204,956 · 1,338,840

Sums & aliquot sequence

As consecutive integers: 44,627 + 44,628 + 44,629 16,732 + 16,733 + … + 16,739 14,872 + 14,873 + … + 14,880 5,567 + 5,568 + … + 5,590
Aliquot sequence: 133,884 204,636 272,876 204,664 179,096 163,144 142,766 115,114 57,560 72,040 90,140 99,196 74,404 76,796 59,956 53,136 104,406 — unresolved within range

Continued fraction of √n

√133,884 = [365; (1, 9, 6, 20, 6, 9, 1, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred eighty-four
Ordinal
133884th
Binary
100000101011111100
Octal
405374
Hexadecimal
0x20AFC
Base64
Agr8
One's complement
4,294,833,411 (32-bit)
Scientific notation
1.33884 × 10⁵
As a duration
133,884 s = 1 day, 13 hours, 11 minutes, 24 seconds
In other bases
ternary (3) 20210122200
quaternary (4) 200223330
quinary (5) 13241014
senary (6) 2511500
septenary (7) 1065222
nonary (9) 223580
undecimal (11) 91653
duodecimal (12) 65590
tridecimal (13) 48c2a
tetradecimal (14) 36b12
pentadecimal (15) 29a09

As an angle

133,884° = 371 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωπδʹ
Mayan (base 20)
𝋰·𝋮·𝋮·𝋤
Chinese
一十三萬三千八百八十四
Chinese (financial)
壹拾參萬參仟捌佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٨٤ Devanagari १३३८८४ Bengali ১৩৩৮৮৪ Tamil ௧௩௩௮௮௪ Thai ๑๓๓๘๘๔ Tibetan ༡༣༣༨༨༤ Khmer ១៣៣៨៨៤ Lao ໑໓໓໘໘໔ Burmese ၁၃၃၈၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133884, here are decompositions:

  • 7 + 133877 = 133884
  • 11 + 133873 = 133884
  • 31 + 133853 = 133884
  • 41 + 133843 = 133884
  • 53 + 133831 = 133884
  • 71 + 133813 = 133884
  • 73 + 133811 = 133884
  • 83 + 133801 = 133884

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫼
CJK Unified Ideograph-20Afc
U+20AFC
Other letter (Lo)

UTF-8 encoding: F0 A0 AB BC (4 bytes).

Hex color
#020AFC
RGB(2, 10, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.252.

Address
0.2.10.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.252

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 133,884 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 133884 first appears in π at position 549,504 of the decimal expansion (the 549,504ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.