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133,904

133,904 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.).

133,904 (one hundred thirty-three thousand nine hundred four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,369. Written other ways, in hexadecimal, 0x20B10.

Arithmetic Number Deficient Number Lazy Caterer Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
409,331
Square (n²)
17,930,281,216
Cube (n³)
2,400,936,375,947,264
Divisor count
10
σ(n) — sum of divisors
259,470
φ(n) — Euler's totient
66,944
Sum of prime factors
8,377

Primality

Prime factorization: 2 4 × 8369

Nearest primes: 133,877 (−27) · 133,919 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8369 · 16738 · 33476 · 66952 (half) · 133904
Aliquot sum (sum of proper divisors): 125,566
Factor pairs (a × b = 133,904)
1 × 133904
2 × 66952
4 × 33476
8 × 16738
16 × 8369
First multiples
133,904 · 267,808 (double) · 401,712 · 535,616 · 669,520 · 803,424 · 937,328 · 1,071,232 · 1,205,136 · 1,339,040

Sums & aliquot sequence

As a sum of two squares: 100² + 352²
As consecutive integers: 4,169 + 4,170 + … + 4,200
Aliquot sequence: 133,904 125,566 89,714 49,294 36,890 46,054 23,030 26,218 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 — unresolved within range

Continued fraction of √n

√133,904 = [365; (1, 13, 13, 4, 3, 1, 14, 1, 4, 5, 1, 1, 16, 11, 5, 36, 2, 1, 1, 10, 1, 1, 1, 17, …)]

Representations

In words
one hundred thirty-three thousand nine hundred four
Ordinal
133904th
Binary
100000101100010000
Octal
405420
Hexadecimal
0x20B10
Base64
AgsQ
One's complement
4,294,833,391 (32-bit)
Scientific notation
1.33904 × 10⁵
As a duration
133,904 s = 1 day, 13 hours, 11 minutes, 44 seconds
In other bases
ternary (3) 20210200102
quaternary (4) 200230100
quinary (5) 13241104
senary (6) 2511532
septenary (7) 1065251
nonary (9) 223612
undecimal (11) 91671
duodecimal (12) 655a8
tridecimal (13) 48c44
tetradecimal (14) 36b28
pentadecimal (15) 29a1e

As an angle

133,904° = 371 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡδʹ
Mayan (base 20)
𝋰·𝋮·𝋯·𝋤
Chinese
一十三萬三千九百零四
Chinese (financial)
壹拾參萬參仟玖佰零肆
In other modern scripts
Eastern Arabic ١٣٣٩٠٤ Devanagari १३३९०४ Bengali ১৩৩৯০৪ Tamil ௧௩௩௯௦௪ Thai ๑๓๓๙๐๔ Tibetan ༡༣༣༩༠༤ Khmer ១៣៣៩០៤ Lao ໑໓໓໙໐໔ Burmese ၁၃၃၉၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133904, here are decompositions:

  • 31 + 133873 = 133904
  • 61 + 133843 = 133904
  • 73 + 133831 = 133904
  • 103 + 133801 = 133904
  • 181 + 133723 = 133904
  • 193 + 133711 = 133904
  • 271 + 133633 = 133904
  • 307 + 133597 = 133904

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬐
CJK Unified Ideograph-20B10
U+20B10
Other letter (Lo)

UTF-8 encoding: F0 A0 AC 90 (4 bytes).

Hex color
#020B10
RGB(2, 11, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.16.

Address
0.2.11.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.16

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 133,904 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 133904 first appears in π at position 1,985 of the decimal expansion (the 1,985ordinal-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.