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133,888

133,888 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.).

133,888 (one hundred thirty-three thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2⁸ × 523. Written other ways, in hexadecimal, 0x20B00.

Deficient Number Evil Number Frugal Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
4,608
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
888,331
Square (n²)
17,925,996,544
Cube (n³)
2,400,075,825,283,072
Divisor count
18
σ(n) — sum of divisors
267,764
φ(n) — Euler's totient
66,816
Sum of prime factors
539

Primality

Prime factorization: 2 8 × 523

Nearest primes: 133,877 (−11) · 133,919 (+31)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 523 · 1046 · 2092 · 4184 · 8368 · 16736 · 33472 · 66944 (half) · 133888
Aliquot sum (sum of proper divisors): 133,876
Factor pairs (a × b = 133,888)
1 × 133888
2 × 66944
4 × 33472
8 × 16736
16 × 8368
32 × 4184
64 × 2092
128 × 1046
256 × 523
First multiples
133,888 · 267,776 (double) · 401,664 · 535,552 · 669,440 · 803,328 · 937,216 · 1,071,104 · 1,204,992 · 1,338,880

Sums & aliquot sequence

As consecutive integers: 6 + 7 + … + 517
Aliquot sequence: 133,888 133,876 100,414 50,210 40,186 21,158 11,242 10,070 9,370 7,514 5,380 5,960 7,540 10,100 12,034 7,694 3,850 — unresolved within range

Continued fraction of √n

√133,888 = [365; (1, 9, 1, 3, 4, 2, 3, 2, 1, 2, 1, 17, 8, 2, 1, 4, 2, 2, 18, 2, 1, 4, 9, 20, …)]

Representations

In words
one hundred thirty-three thousand eight hundred eighty-eight
Ordinal
133888th
Binary
100000101100000000
Octal
405400
Hexadecimal
0x20B00
Base64
AgsA
One's complement
4,294,833,407 (32-bit)
Scientific notation
1.33888 × 10⁵
As a duration
133,888 s = 1 day, 13 hours, 11 minutes, 28 seconds
In other bases
ternary (3) 20210122211
quaternary (4) 200230000
quinary (5) 13241023
senary (6) 2511504
septenary (7) 1065226
nonary (9) 223584
undecimal (11) 91657
duodecimal (12) 65594
tridecimal (13) 48c31
tetradecimal (14) 36b16
pentadecimal (15) 29a0d

As an angle

133,888° = 371 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωπηʹ
Mayan (base 20)
𝋰·𝋮·𝋮·𝋨
Chinese
一十三萬三千八百八十八
Chinese (financial)
壹拾參萬參仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٨٨ Devanagari १३३८८८ Bengali ১৩৩৮৮৮ Tamil ௧௩௩௮௮௮ Thai ๑๓๓๘๘๘ Tibetan ༡༣༣༨༨༨ Khmer ១៣៣៨៨៨ Lao ໑໓໓໘໘໘ Burmese ၁၃၃၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133888, here are decompositions:

  • 11 + 133877 = 133888
  • 107 + 133781 = 133888
  • 179 + 133709 = 133888
  • 191 + 133697 = 133888
  • 197 + 133691 = 133888
  • 239 + 133649 = 133888
  • 257 + 133631 = 133888
  • 317 + 133571 = 133888

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬀
CJK Unified Ideograph-20B00
U+20B00
Other letter (Lo)

UTF-8 encoding: F0 A0 AC 80 (4 bytes).

Hex color
#020B00
RGB(2, 11, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.0.

Address
0.2.11.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.0

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 133,888 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 133888 first appears in π at position 84,583 of the decimal expansion (the 84,583ordinal-suffix:rd 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