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133,006

133,006 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.).

133,006 (one hundred thirty-three thousand six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 73 × 911. Written other ways, in hexadecimal, 0x2078E.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
600,331
Square (n²)
17,690,596,036
Cube (n³)
2,352,955,416,364,216
Divisor count
8
σ(n) — sum of divisors
202,464
φ(n) — Euler's totient
65,520
Sum of prime factors
986

Primality

Prime factorization: 2 × 73 × 911

Nearest primes: 132,989 (−17) · 133,013 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 73 · 146 · 911 · 1822 · 66503 (half) · 133006
Aliquot sum (sum of proper divisors): 69,458
Factor pairs (a × b = 133,006)
1 × 133006
2 × 66503
73 × 1822
146 × 911
First multiples
133,006 · 266,012 (double) · 399,018 · 532,024 · 665,030 · 798,036 · 931,042 · 1,064,048 · 1,197,054 · 1,330,060

Sums & aliquot sequence

As consecutive integers: 33,250 + 33,251 + 33,252 + 33,253 1,786 + 1,787 + … + 1,858 310 + 311 + … + 601
Aliquot sequence: 133,006 69,458 34,732 29,388 42,292 33,168 52,640 92,512 122,948 123,004 135,044 166,600 310,490 258,670 206,954 147,286 73,646 — unresolved within range

Continued fraction of √n

√133,006 = [364; (1, 2, 3, 80, 1, 2, 1, 10, 2, 8, 1, 1, 8, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 4, …)]

Representations

In words
one hundred thirty-three thousand six
Ordinal
133006th
Binary
100000011110001110
Octal
403616
Hexadecimal
0x2078E
Base64
AgeO
One's complement
4,294,834,289 (32-bit)
Scientific notation
1.33006 × 10⁵
As a duration
133,006 s = 1 day, 12 hours, 56 minutes, 46 seconds
In other bases
ternary (3) 20202110011
quaternary (4) 200132032
quinary (5) 13224011
senary (6) 2503434
septenary (7) 1062526
nonary (9) 222404
undecimal (11) 90a25
duodecimal (12) 64b7a
tridecimal (13) 48703
tetradecimal (14) 36686
pentadecimal (15) 29621

As an angle

133,006° = 369 × 360° + 166°
166° ≈ 2.897 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϛʹ
Mayan (base 20)
𝋰·𝋬·𝋪·𝋦
Chinese
一十三萬三千零六
Chinese (financial)
壹拾參萬參仟零陸
In other modern scripts
Eastern Arabic ١٣٣٠٠٦ Devanagari १३३००६ Bengali ১৩৩০০৬ Tamil ௧௩௩௦௦௬ Thai ๑๓๓๐๐๖ Tibetan ༡༣༣༠༠༦ Khmer ១៣៣០០៦ Lao ໑໓໓໐໐໖ Burmese ၁၃၃၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133006, here are decompositions:

  • 17 + 132989 = 133006
  • 53 + 132953 = 133006
  • 59 + 132947 = 133006
  • 113 + 132893 = 133006
  • 149 + 132857 = 133006
  • 173 + 132833 = 133006
  • 257 + 132749 = 133006
  • 317 + 132689 = 133006

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞎
CJK Unified Ideograph-2078E
U+2078E
Other letter (Lo)

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

Hex color
#02078E
RGB(2, 7, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.142.

Address
0.2.7.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.142

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 133,006 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 133006 first appears in π at position 59,311 of the decimal expansion (the 59,311ordinal-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