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133,370

133,370 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.).

133,370 (one hundred thirty-three thousand three hundred seventy) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,337. Written other ways, in hexadecimal, 0x208FA.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
73,331
Recamán's sequence
a(35,400) = 133,370
Square (n²)
17,787,556,900
Cube (n³)
2,372,326,463,753,000
Divisor count
8
σ(n) — sum of divisors
240,084
φ(n) — Euler's totient
53,344
Sum of prime factors
13,344

Primality

Prime factorization: 2 × 5 × 13337

Nearest primes: 133,351 (−19) · 133,379 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13337 · 26674 · 66685 (half) · 133370
Aliquot sum (sum of proper divisors): 106,714
Factor pairs (a × b = 133,370)
1 × 133370
2 × 66685
5 × 26674
10 × 13337
First multiples
133,370 · 266,740 (double) · 400,110 · 533,480 · 666,850 · 800,220 · 933,590 · 1,066,960 · 1,200,330 · 1,333,700

Sums & aliquot sequence

As a sum of two squares: 67² + 359² = 247² + 269²
As consecutive integers: 33,341 + 33,342 + 33,343 + 33,344 26,672 + 26,673 + 26,674 + 26,675 + 26,676 6,659 + 6,660 + … + 6,678
Aliquot sequence: 133,370 106,714 54,746 30,118 20,534 10,270 9,890 9,118 4,994 3,214 1,610 1,846 1,178 742 554 280 440 — unresolved within range

Continued fraction of √n

√133,370 = [365; (5, 27, 1, 8, 3, 1, 1, 3, 1, 3, 23, 3, 2, 1, 2, 2, 1, 4, 7, 2, 9, 1, 4, 1, …)]

Period length 49 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred seventy
Ordinal
133370th
Binary
100000100011111010
Octal
404372
Hexadecimal
0x208FA
Base64
Agj6
One's complement
4,294,833,925 (32-bit)
Scientific notation
1.3337 × 10⁵
As a duration
133,370 s = 1 day, 13 hours, 2 minutes, 50 seconds
In other bases
ternary (3) 20202221122
quaternary (4) 200203322
quinary (5) 13231440
senary (6) 2505242
septenary (7) 1063556
nonary (9) 222848
undecimal (11) 91226
duodecimal (12) 65222
tridecimal (13) 48923
tetradecimal (14) 36866
pentadecimal (15) 297b5

As an angle

133,370° = 370 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγτοʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋪
Chinese
一十三萬三千三百七十
Chinese (financial)
壹拾參萬參仟參佰柒拾
In other modern scripts
Eastern Arabic ١٣٣٣٧٠ Devanagari १३३३७० Bengali ১৩৩৩৭০ Tamil ௧௩௩௩௭௦ Thai ๑๓๓๓๗๐ Tibetan ༡༣༣༣༧༠ Khmer ១៣៣៣៧០ Lao ໑໓໓໓໗໐ Burmese ၁၃၃၃၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133370, here are decompositions:

  • 19 + 133351 = 133370
  • 43 + 133327 = 133370
  • 67 + 133303 = 133370
  • 109 + 133261 = 133370
  • 157 + 133213 = 133370
  • 283 + 133087 = 133370
  • 331 + 133039 = 133370
  • 337 + 133033 = 133370

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣺
CJK Unified Ideograph-208Fa
U+208FA
Other letter (Lo)

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

Hex color
#0208FA
RGB(2, 8, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.250.

Address
0.2.8.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.250

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 133,370 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 133370 first appears in π at position 849,079 of the decimal expansion (the 849,079ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.