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133,842

133,842 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.).

133,842 (one hundred thirty-three thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,307. Its proper divisors sum to 133,854, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AD2.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
248,331
Square (n²)
17,913,680,964
Cube (n³)
2,397,602,887,583,688
Divisor count
8
σ(n) — sum of divisors
267,696
φ(n) — Euler's totient
44,612
Sum of prime factors
22,312

Primality

Prime factorization: 2 × 3 × 22307

Nearest primes: 133,831 (−11) · 133,843 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22307 · 44614 · 66921 (half) · 133842
Aliquot sum (sum of proper divisors): 133,854
Factor pairs (a × b = 133,842)
1 × 133842
2 × 66921
3 × 44614
6 × 22307
First multiples
133,842 · 267,684 (double) · 401,526 · 535,368 · 669,210 · 803,052 · 936,894 · 1,070,736 · 1,204,578 · 1,338,420

Sums & aliquot sequence

As consecutive integers: 44,613 + 44,614 + 44,615 33,459 + 33,460 + 33,461 + 33,462 11,148 + 11,149 + … + 11,159
Aliquot sequence: 133,842 133,854 172,194 203,646 203,658 298,998 480,762 628,038 865,818 1,032,390 1,652,058 1,927,440 4,547,964 6,063,980 7,864,564 6,158,480 8,786,992 — unresolved within range

Continued fraction of √n

√133,842 = [365; (1, 5, 2, 2, 1, 1, 1, 1, 2, 1, 1, 8, 1, 2, 7, 8, 3, 1, 1, 1, 5, 1, 1, 21, …)]

Representations

In words
one hundred thirty-three thousand eight hundred forty-two
Ordinal
133842nd
Binary
100000101011010010
Octal
405322
Hexadecimal
0x20AD2
Base64
AgrS
One's complement
4,294,833,453 (32-bit)
Scientific notation
1.33842 × 10⁵
As a duration
133,842 s = 1 day, 13 hours, 10 minutes, 42 seconds
In other bases
ternary (3) 20210121010
quaternary (4) 200223102
quinary (5) 13240332
senary (6) 2511350
septenary (7) 1065132
nonary (9) 223533
undecimal (11) 91615
duodecimal (12) 65556
tridecimal (13) 48bc7
tetradecimal (14) 36ac2
pentadecimal (15) 299cc
Palindromic in base 12

As an angle

133,842° = 371 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγωμβʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋢
Chinese
一十三萬三千八百四十二
Chinese (financial)
壹拾參萬參仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٨٤٢ Devanagari १३३८४२ Bengali ১৩৩৮৪২ Tamil ௧௩௩௮௪௨ Thai ๑๓๓๘๔๒ Tibetan ༡༣༣༨༤༢ Khmer ១៣៣៨៤២ Lao ໑໓໓໘໔໒ Burmese ၁၃၃၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133842, here are decompositions:

  • 11 + 133831 = 133842
  • 29 + 133813 = 133842
  • 31 + 133811 = 133842
  • 41 + 133801 = 133842
  • 61 + 133781 = 133842
  • 73 + 133769 = 133842
  • 109 + 133733 = 133842
  • 131 + 133711 = 133842

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫒
CJK Unified Ideograph-20Ad2
U+20AD2
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 92 (4 bytes).

Hex color
#020AD2
RGB(2, 10, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.210.

Address
0.2.10.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.210

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 133,842 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 133842 first appears in π at position 221,478 of the decimal expansion (the 221,478ordinal-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°.