number.wiki
Live analysis

133,350

133,350 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.).

133,350 (one hundred thirty-three thousand three hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 7 × 127. Its proper divisors sum to 247,578, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208E6.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
53,331
Recamán's sequence
a(35,360) = 133,350
Square (n²)
17,782,222,500
Cube (n³)
2,371,259,370,375,000
Divisor count
48
σ(n) — sum of divisors
380,928
φ(n) — Euler's totient
30,240
Sum of prime factors
149

Primality

Prime factorization: 2 × 3 × 5 2 × 7 × 127

Nearest primes: 133,349 (−1) · 133,351 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 21 · 25 · 30 · 35 · 42 · 50 · 70 · 75 · 105 · 127 · 150 · 175 · 210 · 254 · 350 · 381 · 525 · 635 · 762 · 889 · 1050 · 1270 · 1778 · 1905 · 2667 · 3175 · 3810 · 4445 · 5334 · 6350 · 8890 · 9525 · 13335 · 19050 · 22225 · 26670 · 44450 · 66675 (half) · 133350
Aliquot sum (sum of proper divisors): 247,578
Factor pairs (a × b = 133,350)
1 × 133350
2 × 66675
3 × 44450
5 × 26670
6 × 22225
7 × 19050
10 × 13335
14 × 9525
15 × 8890
21 × 6350
25 × 5334
30 × 4445
35 × 3810
42 × 3175
50 × 2667
70 × 1905
75 × 1778
105 × 1270
127 × 1050
150 × 889
175 × 762
210 × 635
254 × 525
350 × 381
First multiples
133,350 · 266,700 (double) · 400,050 · 533,400 · 666,750 · 800,100 · 933,450 · 1,066,800 · 1,200,150 · 1,333,500

Sums & aliquot sequence

As consecutive integers: 44,449 + 44,450 + 44,451 33,336 + 33,337 + 33,338 + 33,339 26,668 + 26,669 + 26,670 + 26,671 + 26,672 19,047 + 19,048 + … + 19,053
Aliquot sequence: 133,350 247,578 247,590 512,730 876,294 1,047,186 1,546,158 1,558,482 1,588,398 2,109,522 2,109,534 2,712,354 2,839,038 2,839,050 5,060,556 8,169,584 7,778,800 — unresolved within range

Continued fraction of √n

√133,350 = [365; (5, 1, 5, 3, 3, 2, 4, 2, 3, 3, 5, 1, 5, 730)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred fifty
Ordinal
133350th
Binary
100000100011100110
Octal
404346
Hexadecimal
0x208E6
Base64
Agjm
One's complement
4,294,833,945 (32-bit)
Scientific notation
1.3335 × 10⁵
As a duration
133,350 s = 1 day, 13 hours, 2 minutes, 30 seconds
In other bases
ternary (3) 20202220220
quaternary (4) 200203212
quinary (5) 13231400
senary (6) 2505210
septenary (7) 1063530
nonary (9) 222826
undecimal (11) 91208
duodecimal (12) 65206
tridecimal (13) 48909
tetradecimal (14) 36850
pentadecimal (15) 297a0

As an angle

133,350° = 370 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγτνʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋪
Chinese
一十三萬三千三百五十
Chinese (financial)
壹拾參萬參仟參佰伍拾
In other modern scripts
Eastern Arabic ١٣٣٣٥٠ Devanagari १३३३५० Bengali ১৩৩৩৫০ Tamil ௧௩௩௩௫௦ Thai ๑๓๓๓๕๐ Tibetan ༡༣༣༣༥༠ Khmer ១៣៣៣៥០ Lao ໑໓໓໓໕໐ Burmese ၁၃၃၃၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133350, here are decompositions:

  • 13 + 133337 = 133350
  • 23 + 133327 = 133350
  • 29 + 133321 = 133350
  • 31 + 133319 = 133350
  • 47 + 133303 = 133350
  • 67 + 133283 = 133350
  • 71 + 133279 = 133350
  • 73 + 133277 = 133350

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣦
CJK Unified Ideograph-208E6
U+208E6
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 A6 (4 bytes).

Hex color
#0208E6
RGB(2, 8, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.230.

Address
0.2.8.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.230

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 133,350 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 133350 first appears in π at position 544,057 of the decimal expansion (the 544,057ordinal-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

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