number.wiki
Live analysis

133,276

133,276 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.).

133,276 (one hundred thirty-three thousand two hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 13 × 233. Its proper divisors sum to 141,908, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2089C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
672,331
Square (n²)
17,762,492,176
Cube (n³)
2,367,313,907,248,576
Divisor count
24
σ(n) — sum of divisors
275,184
φ(n) — Euler's totient
55,680
Sum of prime factors
261

Primality

Prime factorization: 2 2 × 11 × 13 × 233

Nearest primes: 133,271 (−5) · 133,277 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 13 · 22 · 26 · 44 · 52 · 143 · 233 · 286 · 466 · 572 · 932 · 2563 · 3029 · 5126 · 6058 · 10252 · 12116 · 33319 · 66638 (half) · 133276
Aliquot sum (sum of proper divisors): 141,908
Factor pairs (a × b = 133,276)
1 × 133276
2 × 66638
4 × 33319
11 × 12116
13 × 10252
22 × 6058
26 × 5126
44 × 3029
52 × 2563
143 × 932
233 × 572
286 × 466
First multiples
133,276 · 266,552 (double) · 399,828 · 533,104 · 666,380 · 799,656 · 932,932 · 1,066,208 · 1,199,484 · 1,332,760

Sums & aliquot sequence

As consecutive integers: 16,656 + 16,657 + … + 16,663 12,111 + 12,112 + … + 12,121 10,246 + 10,247 + … + 10,258 1,471 + 1,472 + … + 1,558
Aliquot sequence: 133,276 141,908 125,632 144,624 248,208 393,120 1,300,320 4,021,920 13,214,880 44,845,920 134,658,720 420,305,760 1,331,642,592 3,340,219,680 10,184,789,664 — keeps growing

Continued fraction of √n

√133,276 = [365; (14, 3, 5, 1, 3, 6, 1, 3, 5, 1, 4, 1, 2, 1, 3, 182, 3, 1, 2, 1, 4, 1, 5, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred seventy-six
Ordinal
133276th
Binary
100000100010011100
Octal
404234
Hexadecimal
0x2089C
Base64
Agic
One's complement
4,294,834,019 (32-bit)
Scientific notation
1.33276 × 10⁵
As a duration
133,276 s = 1 day, 13 hours, 1 minute, 16 seconds
In other bases
ternary (3) 20202211011
quaternary (4) 200202130
quinary (5) 13231101
senary (6) 2505004
septenary (7) 1063363
nonary (9) 222734
undecimal (11) 91150
duodecimal (12) 65164
tridecimal (13) 48880
tetradecimal (14) 367da
pentadecimal (15) 29751

As an angle

133,276° = 370 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσοϛʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋰
Chinese
一十三萬三千二百七十六
Chinese (financial)
壹拾參萬參仟貳佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٣٢٧٦ Devanagari १३३२७६ Bengali ১৩৩২৭৬ Tamil ௧௩௩௨௭௬ Thai ๑๓๓๒๗๖ Tibetan ༡༣༣༢༧༦ Khmer ១៣៣២៧៦ Lao ໑໓໓໒໗໖ Burmese ၁၃၃၂၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133276, here are decompositions:

  • 5 + 133271 = 133276
  • 23 + 133253 = 133276
  • 89 + 133187 = 133276
  • 107 + 133169 = 133276
  • 167 + 133109 = 133276
  • 173 + 133103 = 133276
  • 179 + 133097 = 133276
  • 263 + 133013 = 133276

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢜
CJK Unified Ideograph-2089C
U+2089C
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 9C (4 bytes).

Hex color
#02089C
RGB(2, 8, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.156.

Address
0.2.8.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.156

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 133,276 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