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133,892

133,892 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.).

133,892 (one hundred thirty-three thousand eight hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 17 × 179. Its proper divisors sum to 138,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B04.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
298,331
Square (n²)
17,927,067,664
Cube (n³)
2,400,290,943,668,288
Divisor count
24
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
56,960
Sum of prime factors
211

Primality

Prime factorization: 2 2 × 11 × 17 × 179

Nearest primes: 133,877 (−15) · 133,919 (+27)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 17 · 22 · 34 · 44 · 68 · 179 · 187 · 358 · 374 · 716 · 748 · 1969 · 3043 · 3938 · 6086 · 7876 · 12172 · 33473 · 66946 (half) · 133892
Aliquot sum (sum of proper divisors): 138,268
Factor pairs (a × b = 133,892)
1 × 133892
2 × 66946
4 × 33473
11 × 12172
17 × 7876
22 × 6086
34 × 3938
44 × 3043
68 × 1969
179 × 748
187 × 716
358 × 374
First multiples
133,892 · 267,784 (double) · 401,676 · 535,568 · 669,460 · 803,352 · 937,244 · 1,071,136 · 1,205,028 · 1,338,920

Sums & aliquot sequence

As consecutive integers: 16,733 + 16,734 + … + 16,740 12,167 + 12,168 + … + 12,177 7,868 + 7,869 + … + 7,884 1,478 + 1,479 + … + 1,565
Aliquot sequence: 133,892 138,268 122,412 166,072 145,328 146,320 210,800 342,736 343,728 894,288 1,494,448 1,648,208 1,649,200 3,271,120 4,585,520 6,681,616 7,404,784 — unresolved within range

Continued fraction of √n

√133,892 = [365; (1, 10, 2, 3, 2, 2, 2, 2, 1, 2, 5, 2, 1, 1, 5, 8, 22, 1, 2, 1, 22, 8, 5, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred ninety-two
Ordinal
133892nd
Binary
100000101100000100
Octal
405404
Hexadecimal
0x20B04
Base64
AgsE
One's complement
4,294,833,403 (32-bit)
Scientific notation
1.33892 × 10⁵
As a duration
133,892 s = 1 day, 13 hours, 11 minutes, 32 seconds
In other bases
ternary (3) 20210122222
quaternary (4) 200230010
quinary (5) 13241032
senary (6) 2511512
septenary (7) 1065233
nonary (9) 223588
undecimal (11) 91660
duodecimal (12) 65598
tridecimal (13) 48c35
tetradecimal (14) 36b1a
pentadecimal (15) 29a12

As an angle

133,892° = 371 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγωϟβʹ
Mayan (base 20)
𝋰·𝋮·𝋮·𝋬
Chinese
一十三萬三千八百九十二
Chinese (financial)
壹拾參萬參仟捌佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٣٨٩٢ Devanagari १३३८९२ Bengali ১৩৩৮৯২ Tamil ௧௩௩௮௯௨ Thai ๑๓๓๘๙๒ Tibetan ༡༣༣༨༩༢ Khmer ១៣៣៨៩២ Lao ໑໓໓໘໙໒ Burmese ၁၃၃၈၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133892, here are decompositions:

  • 19 + 133873 = 133892
  • 61 + 133831 = 133892
  • 79 + 133813 = 133892
  • 181 + 133711 = 133892
  • 223 + 133669 = 133892
  • 349 + 133543 = 133892
  • 373 + 133519 = 133892
  • 541 + 133351 = 133892

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬄
CJK Unified Ideograph-20B04
U+20B04
Other letter (Lo)

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

Hex color
#020B04
RGB(2, 11, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.4.

Address
0.2.11.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.4

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 133,892 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 133892 first appears in π at position 14,093 of the decimal expansion (the 14,093ordinal-suffix:rd 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.