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133,004

133,004 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.).

133,004 (one hundred thirty-three thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 41 × 811. Written other ways, in hexadecimal, 0x2078C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
400,331
Square (n²)
17,690,064,016
Cube (n³)
2,352,849,274,384,064
Divisor count
12
σ(n) — sum of divisors
238,728
φ(n) — Euler's totient
64,800
Sum of prime factors
856

Primality

Prime factorization: 2 2 × 41 × 811

Nearest primes: 132,989 (−15) · 133,013 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 41 · 82 · 164 · 811 · 1622 · 3244 · 33251 · 66502 (half) · 133004
Aliquot sum (sum of proper divisors): 105,724
Factor pairs (a × b = 133,004)
1 × 133004
2 × 66502
4 × 33251
41 × 3244
82 × 1622
164 × 811
First multiples
133,004 · 266,008 (double) · 399,012 · 532,016 · 665,020 · 798,024 · 931,028 · 1,064,032 · 1,197,036 · 1,330,040

Sums & aliquot sequence

As consecutive integers: 16,622 + 16,623 + … + 16,629 3,224 + 3,225 + … + 3,264 242 + 243 + … + 569
Aliquot sequence: 133,004 105,724 79,300 109,056 185,568 301,800 635,640 1,271,640 2,543,640 6,165,480 12,496,920 25,242,600 53,011,320 112,945,800 274,975,800 671,570,760 1,630,960,440 — unresolved within range

Continued fraction of √n

√133,004 = [364; (1, 2, 3, 3, 5, 3, 1, 3, 2, 5, 23, 2, 1, 8, 1, 4, 31, 1, 1, 28, 1, 2, 90, 1, …)]

Representations

In words
one hundred thirty-three thousand four
Ordinal
133004th
Binary
100000011110001100
Octal
403614
Hexadecimal
0x2078C
Base64
AgeM
One's complement
4,294,834,291 (32-bit)
Scientific notation
1.33004 × 10⁵
As a duration
133,004 s = 1 day, 12 hours, 56 minutes, 44 seconds
In other bases
ternary (3) 20202110002
quaternary (4) 200132030
quinary (5) 13224004
senary (6) 2503432
septenary (7) 1062524
nonary (9) 222402
undecimal (11) 90a23
duodecimal (12) 64b78
tridecimal (13) 48701
tetradecimal (14) 36684
pentadecimal (15) 2961e

As an angle

133,004° = 369 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγδʹ
Mayan (base 20)
𝋰·𝋬·𝋪·𝋤
Chinese
一十三萬三千零四
Chinese (financial)
壹拾參萬參仟零肆
In other modern scripts
Eastern Arabic ١٣٣٠٠٤ Devanagari १३३००४ Bengali ১৩৩০০৪ Tamil ௧௩௩௦௦௪ Thai ๑๓๓๐๐๔ Tibetan ༡༣༣༠༠༤ Khmer ១៣៣០០៤ Lao ໑໓໓໐໐໔ Burmese ၁၃၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133004, here are decompositions:

  • 37 + 132967 = 133004
  • 43 + 132961 = 133004
  • 241 + 132763 = 133004
  • 283 + 132721 = 133004
  • 307 + 132697 = 133004
  • 337 + 132667 = 133004
  • 367 + 132637 = 133004
  • 373 + 132631 = 133004

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞌
CJK Unified Ideograph-2078C
U+2078C
Other letter (Lo)

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

Hex color
#02078C
RGB(2, 7, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.140.

Address
0.2.7.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.140

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 133,004 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.