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133,206

133,206 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.).

133,206 (one hundred thirty-three thousand two hundred six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3 × 149². Its proper divisors sum to 135,006, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20856.

Abundant Number Arithmetic Number Cube-Free Evil Number 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
602,331
Square (n²)
17,743,838,436
Cube (n³)
2,363,585,742,705,816
Divisor count
12
σ(n) — sum of divisors
268,212
φ(n) — Euler's totient
44,104
Sum of prime factors
303

Primality

Prime factorization: 2 × 3 × 149 2

Nearest primes: 133,201 (−5) · 133,213 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 149 · 298 · 447 · 894 · 22201 · 44402 · 66603 (half) · 133206
Aliquot sum (sum of proper divisors): 135,006
Factor pairs (a × b = 133,206)
1 × 133206
2 × 66603
3 × 44402
6 × 22201
149 × 894
298 × 447
First multiples
133,206 · 266,412 (double) · 399,618 · 532,824 · 666,030 · 799,236 · 932,442 · 1,065,648 · 1,198,854 · 1,332,060

Sums & aliquot sequence

As consecutive integers: 44,401 + 44,402 + 44,403 33,300 + 33,301 + 33,302 + 33,303 11,095 + 11,096 + … + 11,106 820 + 821 + … + 968
Aliquot sequence: 133,206 135,006 135,018 180,570 287,142 287,154 454,158 573,570 917,946 1,155,654 1,412,586 2,308,374 2,722,626 3,390,654 3,390,666 3,390,678 4,025,250 — unresolved within range

Continued fraction of √n

√133,206 = [364; (1, 37, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 9, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand two hundred six
Ordinal
133206th
Binary
100000100001010110
Octal
404126
Hexadecimal
0x20856
Base64
AghW
One's complement
4,294,834,089 (32-bit)
Scientific notation
1.33206 × 10⁵
As a duration
133,206 s = 1 day, 13 hours, 6 seconds
In other bases
ternary (3) 20202201120
quaternary (4) 200201112
quinary (5) 13230311
senary (6) 2504410
septenary (7) 1063233
nonary (9) 222646
undecimal (11) 91097
duodecimal (12) 65106
tridecimal (13) 48828
tetradecimal (14) 3678a
pentadecimal (15) 29706

As an angle

133,206° = 370 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσϛʹ
Mayan (base 20)
𝋰·𝋭·𝋠·𝋦
Chinese
一十三萬三千二百零六
Chinese (financial)
壹拾參萬參仟貳佰零陸
In other modern scripts
Eastern Arabic ١٣٣٢٠٦ Devanagari १३३२०६ Bengali ১৩৩২০৬ Tamil ௧௩௩௨௦௬ Thai ๑๓๓๒๐๖ Tibetan ༡༣༣༢༠༦ Khmer ១៣៣២០៦ Lao ໑໓໓໒໐໖ Burmese ၁၃၃၂၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133206, here are decompositions:

  • 5 + 133201 = 133206
  • 19 + 133187 = 133206
  • 23 + 133183 = 133206
  • 37 + 133169 = 133206
  • 53 + 133153 = 133206
  • 89 + 133117 = 133206
  • 97 + 133109 = 133206
  • 103 + 133103 = 133206

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡖
CJK Unified Ideograph-20856
U+20856
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 96 (4 bytes).

Hex color
#020856
RGB(2, 8, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.86.

Address
0.2.8.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.86

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 133,206 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 133206 first appears in π at position 389,155 of the decimal expansion (the 389,155ordinal-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°.