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133,288

133,288 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.).

133,288 (one hundred thirty-three thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,661. Written other ways, in hexadecimal, 0x208A8.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,152
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
882,331
Recamán's sequence
a(35,236) = 133,288
Square (n²)
17,765,690,944
Cube (n³)
2,367,953,414,543,872
Divisor count
8
σ(n) — sum of divisors
249,930
φ(n) — Euler's totient
66,640
Sum of prime factors
16,667

Primality

Prime factorization: 2 3 × 16661

Nearest primes: 133,283 (−5) · 133,303 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16661 · 33322 · 66644 (half) · 133288
Aliquot sum (sum of proper divisors): 116,642
Factor pairs (a × b = 133,288)
1 × 133288
2 × 66644
4 × 33322
8 × 16661
First multiples
133,288 · 266,576 (double) · 399,864 · 533,152 · 666,440 · 799,728 · 933,016 · 1,066,304 · 1,199,592 · 1,332,880

Sums & aliquot sequence

As a sum of two squares: 138² + 338²
As consecutive integers: 8,323 + 8,324 + … + 8,338
Aliquot sequence: 133,288 116,642 58,324 58,380 129,780 324,492 541,044 1,118,796 2,026,164 3,377,164 3,448,564 3,970,316 4,900,084 4,900,140 12,091,380 26,602,380 67,956,084 — unresolved within range

Continued fraction of √n

√133,288 = [365; (11, 1, 1, 2, 3, 7, 1, 1, 1, 3, 1, 7, 1, 1, 19, 1, 3, 25, 1, 4, 1, 2, 3, 5, …)]

Representations

In words
one hundred thirty-three thousand two hundred eighty-eight
Ordinal
133288th
Binary
100000100010101000
Octal
404250
Hexadecimal
0x208A8
Base64
Agio
One's complement
4,294,834,007 (32-bit)
Scientific notation
1.33288 × 10⁵
As a duration
133,288 s = 1 day, 13 hours, 1 minute, 28 seconds
In other bases
ternary (3) 20202211121
quaternary (4) 200202220
quinary (5) 13231123
senary (6) 2505024
septenary (7) 1063411
nonary (9) 222747
undecimal (11) 91161
duodecimal (12) 65174
tridecimal (13) 4888c
tetradecimal (14) 36808
pentadecimal (15) 2975d

As an angle

133,288° = 370 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσπηʹ
Mayan (base 20)
𝋰·𝋭·𝋤·𝋨
Chinese
一十三萬三千二百八十八
Chinese (financial)
壹拾參萬參仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٨٨ Devanagari १३३२८८ Bengali ১৩৩২৮৮ Tamil ௧௩௩௨௮௮ Thai ๑๓๓๒๘๘ Tibetan ༡༣༣༢༨༨ Khmer ១៣៣២៨៨ Lao ໑໓໓໒໘໘ Burmese ၁၃၃၂၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133288, here are decompositions:

  • 5 + 133283 = 133288
  • 11 + 133277 = 133288
  • 17 + 133271 = 133288
  • 47 + 133241 = 133288
  • 101 + 133187 = 133288
  • 131 + 133157 = 133288
  • 167 + 133121 = 133288
  • 179 + 133109 = 133288

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢨
CJK Unified Ideograph-208A8
U+208A8
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 A8 (4 bytes).

Hex color
#0208A8
RGB(2, 8, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.168.

Address
0.2.8.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.168

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 133,288 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading