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133,238

133,238 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.).

133,238 (one hundred thirty-three thousand two hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 31 × 307. Written other ways, in hexadecimal, 0x20876.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
832,331
Square (n²)
17,752,364,644
Cube (n³)
2,365,289,560,437,272
Divisor count
16
σ(n) — sum of divisors
236,544
φ(n) — Euler's totient
55,080
Sum of prime factors
347

Primality

Prime factorization: 2 × 7 × 31 × 307

Nearest primes: 133,213 (−25) · 133,241 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 31 · 62 · 217 · 307 · 434 · 614 · 2149 · 4298 · 9517 · 19034 · 66619 (half) · 133238
Aliquot sum (sum of proper divisors): 103,306
Factor pairs (a × b = 133,238)
1 × 133238
2 × 66619
7 × 19034
14 × 9517
31 × 4298
62 × 2149
217 × 614
307 × 434
First multiples
133,238 · 266,476 (double) · 399,714 · 532,952 · 666,190 · 799,428 · 932,666 · 1,065,904 · 1,199,142 · 1,332,380

Sums & aliquot sequence

As consecutive integers: 33,308 + 33,309 + 33,310 + 33,311 19,031 + 19,032 + … + 19,037 4,745 + 4,746 + … + 4,772 4,283 + 4,284 + … + 4,313
Aliquot sequence: 133,238 103,306 78,710 71,626 37,814 29,674 16,154 8,794 4,400 7,132 5,356 4,836 7,708 6,404 4,810 4,766 2,386 — unresolved within range

Continued fraction of √n

√133,238 = [365; (56, 6, 2, 3, 1, 6, 21, 3, 11, 1, 1, 1, 3, 2, 3, 1, 22, 1, 3, 2, 3, 1, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred thirty-eight
Ordinal
133238th
Binary
100000100001110110
Octal
404166
Hexadecimal
0x20876
Base64
Agh2
One's complement
4,294,834,057 (32-bit)
Scientific notation
1.33238 × 10⁵
As a duration
133,238 s = 1 day, 13 hours, 38 seconds
In other bases
ternary (3) 20202202202
quaternary (4) 200201312
quinary (5) 13230423
senary (6) 2504502
septenary (7) 1063310
nonary (9) 222682
undecimal (11) 91116
duodecimal (12) 65132
tridecimal (13) 48851
tetradecimal (14) 367b0
pentadecimal (15) 29728

As an angle

133,238° = 370 × 360° + 38°
38° ≈ 0.663 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσληʹ
Mayan (base 20)
𝋰·𝋭·𝋡·𝋲
Chinese
一十三萬三千二百三十八
Chinese (financial)
壹拾參萬參仟貳佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٣٨ Devanagari १३३२३८ Bengali ১৩৩২৩৮ Tamil ௧௩௩௨௩௮ Thai ๑๓๓๒๓๘ Tibetan ༡༣༣༢༣༨ Khmer ១៣៣២៣៨ Lao ໑໓໓໒໓໘ Burmese ၁၃၃၂၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133238, here are decompositions:

  • 37 + 133201 = 133238
  • 151 + 133087 = 133238
  • 199 + 133039 = 133238
  • 271 + 132967 = 133238
  • 277 + 132961 = 133238
  • 379 + 132859 = 133238
  • 421 + 132817 = 133238
  • 487 + 132751 = 133238

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡶
CJK Unified Ideograph-20876
U+20876
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 B6 (4 bytes).

Hex color
#020876
RGB(2, 8, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.118.

Address
0.2.8.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.118

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 133,238 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.