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133,284

133,284 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.).

133,284 (one hundred thirty-three thousand two hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 383. Its proper divisors sum to 189,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208A4.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
482,331
Recamán's sequence
a(35,228) = 133,284
Square (n²)
17,764,624,656
Cube (n³)
2,367,740,232,650,304
Divisor count
24
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
42,784
Sum of prime factors
419

Primality

Prime factorization: 2 2 × 3 × 29 × 383

Nearest primes: 133,283 (−1) · 133,303 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 383 · 766 · 1149 · 1532 · 2298 · 4596 · 11107 · 22214 · 33321 · 44428 · 66642 (half) · 133284
Aliquot sum (sum of proper divisors): 189,276
Factor pairs (a × b = 133,284)
1 × 133284
2 × 66642
3 × 44428
4 × 33321
6 × 22214
12 × 11107
29 × 4596
58 × 2298
87 × 1532
116 × 1149
174 × 766
348 × 383
First multiples
133,284 · 266,568 (double) · 399,852 · 533,136 · 666,420 · 799,704 · 932,988 · 1,066,272 · 1,199,556 · 1,332,840

Sums & aliquot sequence

As consecutive integers: 44,427 + 44,428 + 44,429 16,657 + 16,658 + … + 16,664 5,542 + 5,543 + … + 5,565 4,582 + 4,583 + … + 4,610
Aliquot sequence: 133,284 189,276 252,396 459,084 630,004 478,796 359,104 380,544 631,296 1,203,966 1,425,258 1,662,840 3,953,160 9,150,840 22,313,160 50,205,780 111,969,324 — unresolved within range

Continued fraction of √n

√133,284 = [365; (12, 2, 1, 2, 20, 2, 20, 2, 1, 2, 12, 730)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred eighty-four
Ordinal
133284th
Binary
100000100010100100
Octal
404244
Hexadecimal
0x208A4
Base64
Agik
One's complement
4,294,834,011 (32-bit)
Scientific notation
1.33284 × 10⁵
As a duration
133,284 s = 1 day, 13 hours, 1 minute, 24 seconds
In other bases
ternary (3) 20202211110
quaternary (4) 200202210
quinary (5) 13231114
senary (6) 2505020
septenary (7) 1063404
nonary (9) 222743
undecimal (11) 91158
duodecimal (12) 65170
tridecimal (13) 48888
tetradecimal (14) 36804
pentadecimal (15) 29759

As an angle

133,284° = 370 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσπδʹ
Mayan (base 20)
𝋰·𝋭·𝋤·𝋤
Chinese
一十三萬三千二百八十四
Chinese (financial)
壹拾參萬參仟貳佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٢٨٤ Devanagari १३३२८४ Bengali ১৩৩২৮৪ Tamil ௧௩௩௨௮௪ Thai ๑๓๓๒๘๔ Tibetan ༡༣༣༢༨༤ Khmer ១៣៣២៨៤ Lao ໑໓໓໒໘໔ Burmese ၁၃၃၂၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133284, here are decompositions:

  • 5 + 133279 = 133284
  • 7 + 133277 = 133284
  • 13 + 133271 = 133284
  • 23 + 133261 = 133284
  • 31 + 133253 = 133284
  • 43 + 133241 = 133284
  • 71 + 133213 = 133284
  • 83 + 133201 = 133284

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢤
CJK Unified Ideograph-208A4
U+208A4
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 A4 (4 bytes).

Hex color
#0208A4
RGB(2, 8, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.164.

Address
0.2.8.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.164

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 133,284 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

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