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133,300

133,300 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.).

133,300 (one hundred thirty-three thousand three hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 31 × 43. Its proper divisors sum to 172,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208B4.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
3,331
Recamán's sequence
a(35,260) = 133,300
Square (n²)
17,768,890,000
Cube (n³)
2,368,593,037,000,000
Divisor count
36
σ(n) — sum of divisors
305,536
φ(n) — Euler's totient
50,400
Sum of prime factors
88

Primality

Prime factorization: 2 2 × 5 2 × 31 × 43

Nearest primes: 133,283 (−17) · 133,303 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 31 · 43 · 50 · 62 · 86 · 100 · 124 · 155 · 172 · 215 · 310 · 430 · 620 · 775 · 860 · 1075 · 1333 · 1550 · 2150 · 2666 · 3100 · 4300 · 5332 · 6665 · 13330 · 26660 · 33325 · 66650 (half) · 133300
Aliquot sum (sum of proper divisors): 172,236
Factor pairs (a × b = 133,300)
1 × 133300
2 × 66650
4 × 33325
5 × 26660
10 × 13330
20 × 6665
25 × 5332
31 × 4300
43 × 3100
50 × 2666
62 × 2150
86 × 1550
100 × 1333
124 × 1075
155 × 860
172 × 775
215 × 620
310 × 430
First multiples
133,300 · 266,600 (double) · 399,900 · 533,200 · 666,500 · 799,800 · 933,100 · 1,066,400 · 1,199,700 · 1,333,000

Sums & aliquot sequence

As consecutive integers: 26,658 + 26,659 + 26,660 + 26,661 + 26,662 16,659 + 16,660 + … + 16,666 5,320 + 5,321 + … + 5,344 4,285 + 4,286 + … + 4,315
Aliquot sequence: 133,300 172,236 243,508 207,824 208,816 209,808 409,200 1,066,896 2,028,144 3,685,776 6,146,928 13,369,680 33,055,920 81,615,312 159,797,808 301,853,200 515,165,936 — unresolved within range

Continued fraction of √n

√133,300 = [365; (9, 1, 2, 1, 3, 2, 1, 44, 1, 16, 1, 4, 1, 16, 1, 44, 1, 2, 3, 1, 2, 1, 9, 730)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred
Ordinal
133300th
Binary
100000100010110100
Octal
404264
Hexadecimal
0x208B4
Base64
Agi0
One's complement
4,294,833,995 (32-bit)
Scientific notation
1.333 × 10⁵
As a duration
133,300 s = 1 day, 13 hours, 1 minute, 40 seconds
In other bases
ternary (3) 20202212001
quaternary (4) 200202310
quinary (5) 13231200
senary (6) 2505044
septenary (7) 1063426
nonary (9) 222761
undecimal (11) 91172
duodecimal (12) 65184
tridecimal (13) 4889b
tetradecimal (14) 36816
pentadecimal (15) 2976a

As an angle

133,300° = 370 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢
Greek (Milesian)
͵ρλγτʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋠
Chinese
一十三萬三千三百
Chinese (financial)
壹拾參萬參仟參佰
In other modern scripts
Eastern Arabic ١٣٣٣٠٠ Devanagari १३३३०० Bengali ১৩৩৩০০ Tamil ௧௩௩௩௦௦ Thai ๑๓๓๓๐๐ Tibetan ༡༣༣༣༠༠ Khmer ១៣៣៣០០ Lao ໑໓໓໓໐໐ Burmese ၁၃၃၃၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133300, here are decompositions:

  • 17 + 133283 = 133300
  • 23 + 133277 = 133300
  • 29 + 133271 = 133300
  • 47 + 133253 = 133300
  • 59 + 133241 = 133300
  • 113 + 133187 = 133300
  • 131 + 133169 = 133300
  • 179 + 133121 = 133300

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢴
CJK Unified Ideograph-208B4
U+208B4
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B4 (4 bytes).

Hex color
#0208B4
RGB(2, 8, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.180.

Address
0.2.8.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.180

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 133,300 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