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133,826

133,826 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.).

133,826 (one hundred thirty-three thousand eight hundred twenty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7 × 11² × 79. Written other ways, in hexadecimal, 0x20AC2.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
864
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
628,331
Square (n²)
17,909,398,276
Cube (n³)
2,396,743,133,683,976
Divisor count
24
σ(n) — sum of divisors
255,360
φ(n) — Euler's totient
51,480
Sum of prime factors
110

Primality

Prime factorization: 2 × 7 × 11 2 × 79

Nearest primes: 133,813 (−13) · 133,831 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 7 · 11 · 14 · 22 · 77 · 79 · 121 · 154 · 158 · 242 · 553 · 847 · 869 · 1106 · 1694 · 1738 · 6083 · 9559 · 12166 · 19118 · 66913 (half) · 133826
Aliquot sum (sum of proper divisors): 121,534
Factor pairs (a × b = 133,826)
1 × 133826
2 × 66913
7 × 19118
11 × 12166
14 × 9559
22 × 6083
77 × 1738
79 × 1694
121 × 1106
154 × 869
158 × 847
242 × 553
First multiples
133,826 · 267,652 (double) · 401,478 · 535,304 · 669,130 · 802,956 · 936,782 · 1,070,608 · 1,204,434 · 1,338,260

Sums & aliquot sequence

As consecutive integers: 33,455 + 33,456 + 33,457 + 33,458 19,115 + 19,116 + … + 19,121 12,161 + 12,162 + … + 12,171 4,766 + 4,767 + … + 4,793
Aliquot sequence: 133,826 121,534 86,834 55,294 27,650 31,870 25,514 12,760 19,640 24,640 48,512 48,388 36,298 18,152 15,898 7,952 9,904 — unresolved within range

Continued fraction of √n

√133,826 = [365; (1, 4, 1, 1, 1, 2, 3, 5, 1, 3, 104, 3, 1, 5, 3, 2, 1, 1, 1, 4, 1, 730)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred twenty-six
Ordinal
133826th
Binary
100000101011000010
Octal
405302
Hexadecimal
0x20AC2
Base64
AgrC
One's complement
4,294,833,469 (32-bit)
Scientific notation
1.33826 × 10⁵
As a duration
133,826 s = 1 day, 13 hours, 10 minutes, 26 seconds
In other bases
ternary (3) 20210120112
quaternary (4) 200223002
quinary (5) 13240301
senary (6) 2511322
septenary (7) 1065110
nonary (9) 223515
undecimal (11) 91600
duodecimal (12) 65542
tridecimal (13) 48bb4
tetradecimal (14) 36ab0
pentadecimal (15) 299bb

As an angle

133,826° = 371 × 360° + 266°
266° ≈ 4.643 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωκϛʹ
Mayan (base 20)
𝋰·𝋮·𝋫·𝋦
Chinese
一十三萬三千八百二十六
Chinese (financial)
壹拾參萬參仟捌佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٣٨٢٦ Devanagari १३३८२६ Bengali ১৩৩৮২৬ Tamil ௧௩௩௮௨௬ Thai ๑๓๓๘๒๖ Tibetan ༡༣༣༨༢༦ Khmer ១៣៣៨២៦ Lao ໑໓໓໘໒໖ Burmese ၁၃၃၈၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133826, here are decompositions:

  • 13 + 133813 = 133826
  • 103 + 133723 = 133826
  • 109 + 133717 = 133826
  • 157 + 133669 = 133826
  • 193 + 133633 = 133826
  • 229 + 133597 = 133826
  • 283 + 133543 = 133826
  • 307 + 133519 = 133826

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫂
CJK Unified Ideograph-20Ac2
U+20AC2
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 82 (4 bytes).

Hex color
#020AC2
RGB(2, 10, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.194.

Address
0.2.10.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.194

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 133,826 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 133826 first appears in π at position 39,277 of the decimal expansion (the 39,277ordinal-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.