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133,844

133,844 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.).

133,844 (one hundred thirty-three thousand eight hundred forty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,461. Written other ways, in hexadecimal, 0x20AD4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,152
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
448,331
Square (n²)
17,914,216,336
Cube (n³)
2,397,710,371,275,584
Divisor count
6
σ(n) — sum of divisors
234,234
φ(n) — Euler's totient
66,920
Sum of prime factors
33,465

Primality

Prime factorization: 2 2 × 33461

Nearest primes: 133,843 (−1) · 133,853 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33461 · 66922 (half) · 133844
Aliquot sum (sum of proper divisors): 100,390
Factor pairs (a × b = 133,844)
1 × 133844
2 × 66922
4 × 33461
First multiples
133,844 · 267,688 (double) · 401,532 · 535,376 · 669,220 · 803,064 · 936,908 · 1,070,752 · 1,204,596 · 1,338,440

Sums & aliquot sequence

As a sum of two squares: 140² + 338²
As consecutive integers: 16,727 + 16,728 + … + 16,734
Aliquot sequence: 133,844 100,390 80,330 69,790 73,922 41,854 24,674 15,952 14,986 8,054 4,030 4,034 2,020 2,264 1,996 1,504 1,520 — unresolved within range

Continued fraction of √n

√133,844 = [365; (1, 5, 1, 1, 6, 1, 3, 1, 1, 17, 3, 2, 5, 1, 7, 5, 10, 9, 20, 1, 3, 1, 8, 2, …)]

Representations

In words
one hundred thirty-three thousand eight hundred forty-four
Ordinal
133844th
Binary
100000101011010100
Octal
405324
Hexadecimal
0x20AD4
Base64
AgrU
One's complement
4,294,833,451 (32-bit)
Scientific notation
1.33844 × 10⁵
As a duration
133,844 s = 1 day, 13 hours, 10 minutes, 44 seconds
In other bases
ternary (3) 20210121012
quaternary (4) 200223110
quinary (5) 13240334
senary (6) 2511352
septenary (7) 1065134
nonary (9) 223535
undecimal (11) 91617
duodecimal (12) 65558
tridecimal (13) 48bc9
tetradecimal (14) 36ac4
pentadecimal (15) 299ce

As an angle

133,844° = 371 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωμδʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋤
Chinese
一十三萬三千八百四十四
Chinese (financial)
壹拾參萬參仟捌佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٤٤ Devanagari १३३८४४ Bengali ১৩৩৮৪৪ Tamil ௧௩௩௮௪௪ Thai ๑๓๓๘๔๔ Tibetan ༡༣༣༨༤༤ Khmer ១៣៣៨៤៤ Lao ໑໓໓໘໔໔ Burmese ၁၃၃၈၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133844, here are decompositions:

  • 13 + 133831 = 133844
  • 31 + 133813 = 133844
  • 43 + 133801 = 133844
  • 127 + 133717 = 133844
  • 211 + 133633 = 133844
  • 397 + 133447 = 133844
  • 457 + 133387 = 133844
  • 523 + 133321 = 133844

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫔
CJK Unified Ideograph-20Ad4
U+20AD4
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 94 (4 bytes).

Hex color
#020AD4
RGB(2, 10, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.212.

Address
0.2.10.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.212

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 133,844 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 133844 first appears in π at position 406,567 of the decimal expansion (the 406,567ordinal-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.