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133,356

133,356 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.).

133,356 (one hundred thirty-three thousand three hundred fifty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,113. Its proper divisors sum to 177,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208EC.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
810
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
653,331
Recamán's sequence
a(35,372) = 133,356
Square (n²)
17,783,822,736
Cube (n³)
2,371,579,464,782,016
Divisor count
12
σ(n) — sum of divisors
311,192
φ(n) — Euler's totient
44,448
Sum of prime factors
11,120

Primality

Prime factorization: 2 2 × 3 × 11113

Nearest primes: 133,351 (−5) · 133,379 (+23)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11113 · 22226 · 33339 · 44452 · 66678 (half) · 133356
Aliquot sum (sum of proper divisors): 177,836
Factor pairs (a × b = 133,356)
1 × 133356
2 × 66678
3 × 44452
4 × 33339
6 × 22226
12 × 11113
First multiples
133,356 · 266,712 (double) · 400,068 · 533,424 · 666,780 · 800,136 · 933,492 · 1,066,848 · 1,200,204 · 1,333,560

Sums & aliquot sequence

As consecutive integers: 44,451 + 44,452 + 44,453 16,666 + 16,667 + … + 16,673 5,545 + 5,546 + … + 5,568
Aliquot sequence: 133,356 177,836 147,076 113,996 85,504 86,360 121,000 190,220 209,284 156,970 151,478 94,762 47,384 41,476 31,114 16,694 9,874 — unresolved within range

Continued fraction of √n

√133,356 = [365; (5, 1, 1, 2, 1, 7, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 2, 3, 1, 2, 2, 2, 2, 6, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred fifty-six
Ordinal
133356th
Binary
100000100011101100
Octal
404354
Hexadecimal
0x208EC
Base64
Agjs
One's complement
4,294,833,939 (32-bit)
Scientific notation
1.33356 × 10⁵
As a duration
133,356 s = 1 day, 13 hours, 2 minutes, 36 seconds
In other bases
ternary (3) 20202221010
quaternary (4) 200203230
quinary (5) 13231411
senary (6) 2505220
septenary (7) 1063536
nonary (9) 222833
undecimal (11) 91213
duodecimal (12) 65210
tridecimal (13) 48912
tetradecimal (14) 36856
pentadecimal (15) 297a6

As an angle

133,356° = 370 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτνϛʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋰
Chinese
一十三萬三千三百五十六
Chinese (financial)
壹拾參萬參仟參佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٣٥٦ Devanagari १३३३५६ Bengali ১৩৩৩৫৬ Tamil ௧௩௩௩௫௬ Thai ๑๓๓๓๕๖ Tibetan ༡༣༣༣༥༦ Khmer ១៣៣៣៥៦ Lao ໑໓໓໓໕໖ Burmese ၁၃၃၃၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133356, here are decompositions:

  • 5 + 133351 = 133356
  • 7 + 133349 = 133356
  • 19 + 133337 = 133356
  • 29 + 133327 = 133356
  • 37 + 133319 = 133356
  • 53 + 133303 = 133356
  • 73 + 133283 = 133356
  • 79 + 133277 = 133356

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣬
CJK Unified Ideograph-208Ec
U+208EC
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 AC (4 bytes).

Hex color
#0208EC
RGB(2, 8, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.236.

Address
0.2.8.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.236

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 133,356 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 133356 first appears in π at position 209,381 of the decimal expansion (the 209,381ordinal-suffix:st 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.