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133,556

133,556 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.).

133,556 (one hundred thirty-three thousand five hundred fifty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 173 × 193. Written other ways, in hexadecimal, 0x209B4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,350
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
655,331
Square (n²)
17,837,205,136
Cube (n³)
2,382,265,769,143,616
Divisor count
12
σ(n) — sum of divisors
236,292
φ(n) — Euler's totient
66,048
Sum of prime factors
370

Primality

Prime factorization: 2 2 × 173 × 193

Nearest primes: 133,543 (−13) · 133,559 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 173 · 193 · 346 · 386 · 692 · 772 · 33389 · 66778 (half) · 133556
Aliquot sum (sum of proper divisors): 102,736
Factor pairs (a × b = 133,556)
1 × 133556
2 × 66778
4 × 33389
173 × 772
193 × 692
346 × 386
First multiples
133,556 · 267,112 (double) · 400,668 · 534,224 · 667,780 · 801,336 · 934,892 · 1,068,448 · 1,202,004 · 1,335,560

Sums & aliquot sequence

As a sum of two squares: 134² + 340² = 230² + 284²
As consecutive integers: 16,691 + 16,692 + … + 16,698 686 + 687 + … + 858 596 + 597 + … + 788
Aliquot sequence: 133,556 102,736 96,346 50,534 32,194 16,100 25,564 30,884 30,940 53,732 60,508 60,564 105,420 233,268 389,004 745,332 1,351,308 — unresolved within range

Continued fraction of √n

√133,556 = [365; (2, 4, 1, 5, 13, 8, 1, 1, 10, 2, 1, 1, 1, 2, 1, 1, 3, 3, 23, 3, 1, 2, 182, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred fifty-six
Ordinal
133556th
Binary
100000100110110100
Octal
404664
Hexadecimal
0x209B4
Base64
Agm0
One's complement
4,294,833,739 (32-bit)
Scientific notation
1.33556 × 10⁵
As a duration
133,556 s = 1 day, 13 hours, 5 minutes, 56 seconds
In other bases
ternary (3) 20210012112
quaternary (4) 200212310
quinary (5) 13233211
senary (6) 2510152
septenary (7) 1064243
nonary (9) 223175
undecimal (11) 91385
duodecimal (12) 65358
tridecimal (13) 48a37
tetradecimal (14) 3695a
pentadecimal (15) 2988b
Palindromic in base 6

As an angle

133,556° = 370 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφνϛʹ
Mayan (base 20)
𝋰·𝋭·𝋱·𝋰
Chinese
一十三萬三千五百五十六
Chinese (financial)
壹拾參萬參仟伍佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٥٥٦ Devanagari १३३५५६ Bengali ১৩৩৫৫৬ Tamil ௧௩௩௫௫௬ Thai ๑๓๓๕๕๖ Tibetan ༡༣༣༥༥༦ Khmer ១៣៣៥៥៦ Lao ໑໓໓໕໕໖ Burmese ၁၃၃၅၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133556, here are decompositions:

  • 13 + 133543 = 133556
  • 37 + 133519 = 133556
  • 109 + 133447 = 133556
  • 139 + 133417 = 133556
  • 229 + 133327 = 133556
  • 277 + 133279 = 133556
  • 373 + 133183 = 133556
  • 439 + 133117 = 133556

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦴
CJK Unified Ideograph-209B4
U+209B4
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 B4 (4 bytes).

Hex color
#0209B4
RGB(2, 9, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.180.

Address
0.2.9.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.180

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 133,556 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.