number.wiki
Live analysis

133,476

133,476 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.).

133,476 (one hundred thirty-three thousand four hundred seventy-six) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7² × 227. Its proper divisors sum to 230,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20964.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,512
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
674,331
Recamán's sequence
a(35,612) = 133,476
Square (n²)
17,815,842,576
Cube (n³)
2,377,987,403,674,176
Divisor count
36
σ(n) — sum of divisors
363,888
φ(n) — Euler's totient
37,968
Sum of prime factors
248

Primality

Prime factorization: 2 2 × 3 × 7 2 × 227

Nearest primes: 133,451 (−25) · 133,481 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 49 · 84 · 98 · 147 · 196 · 227 · 294 · 454 · 588 · 681 · 908 · 1362 · 1589 · 2724 · 3178 · 4767 · 6356 · 9534 · 11123 · 19068 · 22246 · 33369 · 44492 · 66738 (half) · 133476
Aliquot sum (sum of proper divisors): 230,412
Factor pairs (a × b = 133,476)
1 × 133476
2 × 66738
3 × 44492
4 × 33369
6 × 22246
7 × 19068
12 × 11123
14 × 9534
21 × 6356
28 × 4767
42 × 3178
49 × 2724
84 × 1589
98 × 1362
147 × 908
196 × 681
227 × 588
294 × 454
First multiples
133,476 · 266,952 (double) · 400,428 · 533,904 · 667,380 · 800,856 · 934,332 · 1,067,808 · 1,201,284 · 1,334,760

Sums & aliquot sequence

As consecutive integers: 44,491 + 44,492 + 44,493 19,065 + 19,066 + … + 19,071 16,681 + 16,682 + … + 16,688 6,346 + 6,347 + … + 6,366
Aliquot sequence: 133,476 230,412 434,420 654,220 916,244 961,324 1,233,876 2,153,900 3,533,236 3,575,180 5,005,588 5,642,252 6,892,732 9,194,948 9,976,204 11,225,060 19,111,708 — unresolved within range

Continued fraction of √n

√133,476 = [365; (2, 1, 10, 12, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred seventy-six
Ordinal
133476th
Binary
100000100101100100
Octal
404544
Hexadecimal
0x20964
Base64
Aglk
One's complement
4,294,833,819 (32-bit)
Scientific notation
1.33476 × 10⁵
As a duration
133,476 s = 1 day, 13 hours, 4 minutes, 36 seconds
In other bases
ternary (3) 20210002120
quaternary (4) 200211210
quinary (5) 13232401
senary (6) 2505540
septenary (7) 1064100
nonary (9) 223076
undecimal (11) 91312
duodecimal (12) 652b0
tridecimal (13) 489a5
tetradecimal (14) 36900
pentadecimal (15) 29836

As an angle

133,476° = 370 × 360° + 276°
276° ≈ 4.817 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυοϛʹ
Mayan (base 20)
𝋰·𝋭·𝋭·𝋰
Chinese
一十三萬三千四百七十六
Chinese (financial)
壹拾參萬參仟肆佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٣٤٧٦ Devanagari १३३४७६ Bengali ১৩৩৪৭৬ Tamil ௧௩௩௪௭௬ Thai ๑๓๓๔๗๖ Tibetan ༡༣༣༤༧༦ Khmer ១៣៣៤៧៦ Lao ໑໓໓໔໗໖ Burmese ၁၃၃၄၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133476, here are decompositions:

  • 29 + 133447 = 133476
  • 37 + 133439 = 133476
  • 59 + 133417 = 133476
  • 73 + 133403 = 133476
  • 89 + 133387 = 133476
  • 97 + 133379 = 133476
  • 127 + 133349 = 133476
  • 139 + 133337 = 133476

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥤
CJK Unified Ideograph-20964
U+20964
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 A4 (4 bytes).

Hex color
#020964
RGB(2, 9, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.100.

Address
0.2.9.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.100

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 133,476 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°.