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133,338

133,338 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.).

133,338 (one hundred thirty-three thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 71 × 313. Its proper divisors sum to 137,958, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208DA.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
648
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
833,331
Recamán's sequence
a(35,336) = 133,338
Square (n²)
17,779,022,244
Cube (n³)
2,370,619,267,970,472
Divisor count
16
σ(n) — sum of divisors
271,296
φ(n) — Euler's totient
43,680
Sum of prime factors
389

Primality

Prime factorization: 2 × 3 × 71 × 313

Nearest primes: 133,337 (−1) · 133,349 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 71 · 142 · 213 · 313 · 426 · 626 · 939 · 1878 · 22223 · 44446 · 66669 (half) · 133338
Aliquot sum (sum of proper divisors): 137,958
Factor pairs (a × b = 133,338)
1 × 133338
2 × 66669
3 × 44446
6 × 22223
71 × 1878
142 × 939
213 × 626
313 × 426
First multiples
133,338 · 266,676 (double) · 400,014 · 533,352 · 666,690 · 800,028 · 933,366 · 1,066,704 · 1,200,042 · 1,333,380

Sums & aliquot sequence

As consecutive integers: 44,445 + 44,446 + 44,447 33,333 + 33,334 + 33,335 + 33,336 11,106 + 11,107 + … + 11,117 1,843 + 1,844 + … + 1,913
Aliquot sequence: 133,338 137,958 137,970 288,270 461,466 571,878 667,230 1,005,474 1,024,638 1,024,650 2,216,214 4,557,546 7,116,534 8,680,338 12,228,462 14,946,018 15,077,118 — unresolved within range

Continued fraction of √n

√133,338 = [365; (6, 2, 6, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred thirty-eight
Ordinal
133338th
Binary
100000100011011010
Octal
404332
Hexadecimal
0x208DA
Base64
Agja
One's complement
4,294,833,957 (32-bit)
Scientific notation
1.33338 × 10⁵
As a duration
133,338 s = 1 day, 13 hours, 2 minutes, 18 seconds
In other bases
ternary (3) 20202220110
quaternary (4) 200203122
quinary (5) 13231323
senary (6) 2505150
septenary (7) 1063512
nonary (9) 222813
undecimal (11) 911a7
duodecimal (12) 651b6
tridecimal (13) 488ca
tetradecimal (14) 36842
pentadecimal (15) 29793

As an angle

133,338° = 370 × 360° + 138°
138° ≈ 2.409 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτληʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋲
Chinese
一十三萬三千三百三十八
Chinese (financial)
壹拾參萬參仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٣٣٨ Devanagari १३३३३८ Bengali ১৩৩৩৩৮ Tamil ௧௩௩௩௩௮ Thai ๑๓๓๓๓๘ Tibetan ༡༣༣༣༣༨ Khmer ១៣៣៣៣៨ Lao ໑໓໓໓໓໘ Burmese ၁၃၃၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133338, here are decompositions:

  • 11 + 133327 = 133338
  • 17 + 133321 = 133338
  • 19 + 133319 = 133338
  • 59 + 133279 = 133338
  • 61 + 133277 = 133338
  • 67 + 133271 = 133338
  • 97 + 133241 = 133338
  • 137 + 133201 = 133338

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣚
CJK Unified Ideograph-208Da
U+208DA
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 9A (4 bytes).

Hex color
#0208DA
RGB(2, 8, 218)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.218.

Address
0.2.8.218
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.218

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 133,338 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 133338 first appears in π at position 436,889 of the decimal expansion (the 436,889ordinal-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

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