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133,330

133,330 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.).

133,330 (one hundred thirty-three thousand three hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 67 × 199. Written other ways, in hexadecimal, 0x208D2.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
33,331
Recamán's sequence
a(35,320) = 133,330
Square (n²)
17,776,888,900
Cube (n³)
2,370,192,597,037,000
Divisor count
16
σ(n) — sum of divisors
244,800
φ(n) — Euler's totient
52,272
Sum of prime factors
273

Primality

Prime factorization: 2 × 5 × 67 × 199

Nearest primes: 133,327 (−3) · 133,337 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 67 · 134 · 199 · 335 · 398 · 670 · 995 · 1990 · 13333 · 26666 · 66665 (half) · 133330
Aliquot sum (sum of proper divisors): 111,470
Factor pairs (a × b = 133,330)
1 × 133330
2 × 66665
5 × 26666
10 × 13333
67 × 1990
134 × 995
199 × 670
335 × 398
First multiples
133,330 · 266,660 (double) · 399,990 · 533,320 · 666,650 · 799,980 · 933,310 · 1,066,640 · 1,199,970 · 1,333,300

Sums & aliquot sequence

As consecutive integers: 33,331 + 33,332 + 33,333 + 33,334 26,664 + 26,665 + 26,666 + 26,667 + 26,668 6,657 + 6,658 + … + 6,676 1,957 + 1,958 + … + 2,023
Aliquot sequence: 133,330 111,470 93,298 46,652 36,508 27,388 22,004 16,510 15,746 7,876 7,244 5,440 8,276 6,214 3,866 1,936 2,187 — unresolved within range

Continued fraction of √n

√133,330 = [365; (6, 1, 20, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 5, 5, 1, 23, 1, 1, 51, 1, 1, 1, 7, …)]

Representations

In words
one hundred thirty-three thousand three hundred thirty
Ordinal
133330th
Binary
100000100011010010
Octal
404322
Hexadecimal
0x208D2
Base64
AgjS
One's complement
4,294,833,965 (32-bit)
Scientific notation
1.3333 × 10⁵
As a duration
133,330 s = 1 day, 13 hours, 2 minutes, 10 seconds
In other bases
ternary (3) 20202220011
quaternary (4) 200203102
quinary (5) 13231310
senary (6) 2505134
septenary (7) 1063501
nonary (9) 222804
undecimal (11) 9119a
duodecimal (12) 651aa
tridecimal (13) 488c2
tetradecimal (14) 36838
pentadecimal (15) 2978a

As an angle

133,330° = 370 × 360° + 130°
130° ≈ 2.269 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλγτλʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋪
Chinese
一十三萬三千三百三十
Chinese (financial)
壹拾參萬參仟參佰參拾
In other modern scripts
Eastern Arabic ١٣٣٣٣٠ Devanagari १३३३३० Bengali ১৩৩৩৩০ Tamil ௧௩௩௩௩௦ Thai ๑๓๓๓๓๐ Tibetan ༡༣༣༣༣༠ Khmer ១៣៣៣៣០ Lao ໑໓໓໓໓໐ Burmese ၁၃၃၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133330, here are decompositions:

  • 3 + 133327 = 133330
  • 11 + 133319 = 133330
  • 47 + 133283 = 133330
  • 53 + 133277 = 133330
  • 59 + 133271 = 133330
  • 89 + 133241 = 133330
  • 173 + 133157 = 133330
  • 227 + 133103 = 133330

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣒
CJK Unified Ideograph-208D2
U+208D2
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 92 (4 bytes).

Hex color
#0208D2
RGB(2, 8, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.210.

Address
0.2.8.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.210

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 133,330 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 133330 first appears in π at position 971,010 of the decimal expansion (the 971,010ordinal-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