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133,538

133,538 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.).

133,538 (one hundred thirty-three thousand five hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 23 × 2,903. Written other ways, in hexadecimal, 0x209A2.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,080
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
835,331
Square (n²)
17,832,397,444
Cube (n³)
2,381,302,689,876,872
Divisor count
8
σ(n) — sum of divisors
209,088
φ(n) — Euler's totient
63,844
Sum of prime factors
2,928

Primality

Prime factorization: 2 × 23 × 2903

Nearest primes: 133,519 (−19) · 133,541 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 23 · 46 · 2903 · 5806 · 66769 (half) · 133538
Aliquot sum (sum of proper divisors): 75,550
Factor pairs (a × b = 133,538)
1 × 133538
2 × 66769
23 × 5806
46 × 2903
First multiples
133,538 · 267,076 (double) · 400,614 · 534,152 · 667,690 · 801,228 · 934,766 · 1,068,304 · 1,201,842 · 1,335,380

Sums & aliquot sequence

As consecutive integers: 33,383 + 33,384 + 33,385 + 33,386 5,795 + 5,796 + … + 5,817 1,406 + 1,407 + … + 1,497
Aliquot sequence: 133,538 75,550 65,066 32,536 39,284 44,044 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 29,081,948 30,182,404 — unresolved within range

Continued fraction of √n

√133,538 = [365; (2, 2, 1, 364, 1, 2, 2, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred thirty-eight
Ordinal
133538th
Binary
100000100110100010
Octal
404642
Hexadecimal
0x209A2
Base64
Agmi
One's complement
4,294,833,757 (32-bit)
Scientific notation
1.33538 × 10⁵
As a duration
133,538 s = 1 day, 13 hours, 5 minutes, 38 seconds
In other bases
ternary (3) 20210011212
quaternary (4) 200212202
quinary (5) 13233123
senary (6) 2510122
septenary (7) 1064216
nonary (9) 223155
undecimal (11) 91369
duodecimal (12) 65342
tridecimal (13) 48a22
tetradecimal (14) 36946
pentadecimal (15) 29878

As an angle

133,538° = 370 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφληʹ
Mayan (base 20)
𝋰·𝋭·𝋰·𝋲
Chinese
一十三萬三千五百三十八
Chinese (financial)
壹拾參萬參仟伍佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٥٣٨ Devanagari १३३५३८ Bengali ১৩৩৫৩৮ Tamil ௧௩௩௫௩௮ Thai ๑๓๓๕๓๘ Tibetan ༡༣༣༥༣༨ Khmer ១៣៣៥៣៨ Lao ໑໓໓໕໓໘ Burmese ၁၃၃၅၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133538, here are decompositions:

  • 19 + 133519 = 133538
  • 151 + 133387 = 133538
  • 211 + 133327 = 133538
  • 277 + 133261 = 133538
  • 337 + 133201 = 133538
  • 421 + 133117 = 133538
  • 487 + 133051 = 133538
  • 499 + 133039 = 133538

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦢
CJK Unified Ideograph-209A2
U+209A2
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 A2 (4 bytes).

Hex color
#0209A2
RGB(2, 9, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.162.

Address
0.2.9.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.162

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 133,538 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 133538 first appears in π at position 63,951 of the decimal expansion (the 63,951ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.