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133,316

133,316 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.).

133,316 (one hundred thirty-three thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,329. Written other ways, in hexadecimal, 0x208C4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
613,331
Recamán's sequence
a(35,292) = 133,316
Square (n²)
17,773,155,856
Cube (n³)
2,369,446,046,098,496
Divisor count
6
σ(n) — sum of divisors
233,310
φ(n) — Euler's totient
66,656
Sum of prime factors
33,333

Primality

Prime factorization: 2 2 × 33329

Nearest primes: 133,303 (−13) · 133,319 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33329 · 66658 (half) · 133316
Aliquot sum (sum of proper divisors): 99,994
Factor pairs (a × b = 133,316)
1 × 133316
2 × 66658
4 × 33329
First multiples
133,316 · 266,632 (double) · 399,948 · 533,264 · 666,580 · 799,896 · 933,212 · 1,066,528 · 1,199,844 · 1,333,160

Sums & aliquot sequence

As a sum of two squares: 104² + 350²
As consecutive integers: 16,661 + 16,662 + … + 16,668
Aliquot sequence: 133,316 99,994 60,260 72,796 54,604 57,284 42,970 34,394 19,066 9,536 9,514 5,174 3,226 1,616 1,546 776 694 — unresolved within range

Continued fraction of √n

√133,316 = [365; (8, 42, 1, 4, 1, 10, 2, 2, 20, 2, 5, 1, 6, 4, 10, 22, 1, 2, 1, 1, 1, 1, 6, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred sixteen
Ordinal
133316th
Binary
100000100011000100
Octal
404304
Hexadecimal
0x208C4
Base64
AgjE
One's complement
4,294,833,979 (32-bit)
Scientific notation
1.33316 × 10⁵
As a duration
133,316 s = 1 day, 13 hours, 1 minute, 56 seconds
In other bases
ternary (3) 20202212122
quaternary (4) 200203010
quinary (5) 13231231
senary (6) 2505112
septenary (7) 1063451
nonary (9) 222778
undecimal (11) 91187
duodecimal (12) 65198
tridecimal (13) 488b1
tetradecimal (14) 36828
pentadecimal (15) 2977b

As an angle

133,316° = 370 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτιϛʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋰
Chinese
一十三萬三千三百一十六
Chinese (financial)
壹拾參萬參仟參佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٣٣١٦ Devanagari १३३३१६ Bengali ১৩৩৩১৬ Tamil ௧௩௩௩௧௬ Thai ๑๓๓๓๑๖ Tibetan ༡༣༣༣༡༦ Khmer ១៣៣៣១៦ Lao ໑໓໓໓໑໖ Burmese ၁၃၃၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133316, here are decompositions:

  • 13 + 133303 = 133316
  • 37 + 133279 = 133316
  • 103 + 133213 = 133316
  • 163 + 133153 = 133316
  • 199 + 133117 = 133316
  • 229 + 133087 = 133316
  • 277 + 133039 = 133316
  • 283 + 133033 = 133316

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣄
CJK Unified Ideograph-208C4
U+208C4
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 84 (4 bytes).

Hex color
#0208C4
RGB(2, 8, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.196.

Address
0.2.8.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.196

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 133,316 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 133316 first appears in π at position 381,456 of the decimal expansion (the 381,456ordinal-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.