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133,838

133,838 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.).

133,838 (one hundred thirty-three thousand eight hundred thirty-eight) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 66,919. Written other ways, in hexadecimal, 0x20ACE.

Arithmetic Number Cube-Free Deficient Number Evil Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,728
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
838,331
Square (n²)
17,912,610,244
Cube (n³)
2,397,387,929,836,472
Divisor count
4
σ(n) — sum of divisors
200,760
φ(n) — Euler's totient
66,918
Sum of prime factors
66,921

Primality

Prime factorization: 2 × 66919

Nearest primes: 133,831 (−7) · 133,843 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 66919 (half) · 133838
Aliquot sum (sum of proper divisors): 66,922
Factor pairs (a × b = 133,838)
1 × 133838
2 × 66919
First multiples
133,838 · 267,676 (double) · 401,514 · 535,352 · 669,190 · 803,028 · 936,866 · 1,070,704 · 1,204,542 · 1,338,380

Sums & aliquot sequence

As consecutive integers: 33,458 + 33,459 + 33,460 + 33,461
Aliquot sequence: 133,838 66,922 33,464 31,336 27,434 20,086 13,430 12,490 10,010 14,182 10,154 5,080 6,440 10,840 13,640 20,920 26,240 — unresolved within range

Continued fraction of √n

√133,838 = [365; (1, 5, 4, 1, 18, 1, 30, 1, 6, 3, 1, 1, 1, 2, 4, 1, 3, 2, 2, 2, 4, 2, 55, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred thirty-eight
Ordinal
133838th
Binary
100000101011001110
Octal
405316
Hexadecimal
0x20ACE
Base64
AgrO
One's complement
4,294,833,457 (32-bit)
Scientific notation
1.33838 × 10⁵
As a duration
133,838 s = 1 day, 13 hours, 10 minutes, 38 seconds
In other bases
ternary (3) 20210120222
quaternary (4) 200223032
quinary (5) 13240323
senary (6) 2511342
septenary (7) 1065125
nonary (9) 223528
undecimal (11) 91611
duodecimal (12) 65552
tridecimal (13) 48bc3
tetradecimal (14) 36abc
pentadecimal (15) 299c8

As an angle

133,838° = 371 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωληʹ
Mayan (base 20)
𝋰·𝋮·𝋫·𝋲
Chinese
一十三萬三千八百三十八
Chinese (financial)
壹拾參萬參仟捌佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٣٨ Devanagari १३३८३८ Bengali ১৩৩৮৩৮ Tamil ௧௩௩௮௩௮ Thai ๑๓๓๘๓๘ Tibetan ༡༣༣༨༣༨ Khmer ១៣៣៨៣៨ Lao ໑໓໓໘໓໘ Burmese ၁၃၃၈၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133838, here are decompositions:

  • 7 + 133831 = 133838
  • 37 + 133801 = 133838
  • 127 + 133711 = 133838
  • 181 + 133657 = 133838
  • 241 + 133597 = 133838
  • 421 + 133417 = 133838
  • 487 + 133351 = 133838
  • 577 + 133261 = 133838

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫎
CJK Unified Ideograph-20Ace
U+20ACE
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 8E (4 bytes).

Hex color
#020ACE
RGB(2, 10, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.206.

Address
0.2.10.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.206

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 133,838 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 133838 first appears in π at position 83,135 of the decimal expansion (the 83,135ordinal-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.