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133,828

133,828 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.).

133,828 (one hundred thirty-three thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,457. Written other ways, in hexadecimal, 0x20AC4.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,152
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
828,331
Square (n²)
17,909,933,584
Cube (n³)
2,396,850,591,679,552
Divisor count
6
σ(n) — sum of divisors
234,206
φ(n) — Euler's totient
66,912
Sum of prime factors
33,461

Primality

Prime factorization: 2 2 × 33457

Nearest primes: 133,813 (−15) · 133,831 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33457 · 66914 (half) · 133828
Aliquot sum (sum of proper divisors): 100,378
Factor pairs (a × b = 133,828)
1 × 133828
2 × 66914
4 × 33457
First multiples
133,828 · 267,656 (double) · 401,484 · 535,312 · 669,140 · 802,968 · 936,796 · 1,070,624 · 1,204,452 · 1,338,280

Sums & aliquot sequence

As a sum of two squares: 162² + 328²
As consecutive integers: 16,725 + 16,726 + … + 16,732
Aliquot sequence: 133,828 100,378 55,142 28,858 15,494 8,314 4,160 6,508 4,888 5,192 5,608 4,922 2,854 1,430 1,594 800 1,153 — unresolved within range

Continued fraction of √n

√133,828 = [365; (1, 4, 1, 2, 1, 1, 6, 60, 1, 4, 1, 1, 13, 1, 4, 81, 10, 1, 9, 1, 5, 1, 2, 6, …)]

Representations

In words
one hundred thirty-three thousand eight hundred twenty-eight
Ordinal
133828th
Binary
100000101011000100
Octal
405304
Hexadecimal
0x20AC4
Base64
AgrE
One's complement
4,294,833,467 (32-bit)
Scientific notation
1.33828 × 10⁵
As a duration
133,828 s = 1 day, 13 hours, 10 minutes, 28 seconds
In other bases
ternary (3) 20210120121
quaternary (4) 200223010
quinary (5) 13240303
senary (6) 2511324
septenary (7) 1065112
nonary (9) 223517
undecimal (11) 91602
duodecimal (12) 65544
tridecimal (13) 48bb6
tetradecimal (14) 36ab2
pentadecimal (15) 299bd

As an angle

133,828° = 371 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωκηʹ
Mayan (base 20)
𝋰·𝋮·𝋫·𝋨
Chinese
一十三萬三千八百二十八
Chinese (financial)
壹拾參萬參仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٢٨ Devanagari १३३८२८ Bengali ১৩৩৮২৮ Tamil ௧௩௩௮௨௮ Thai ๑๓๓๘๒๘ Tibetan ༡༣༣༨༢༨ Khmer ១៣៣៨២៨ Lao ໑໓໓໘໒໘ Burmese ၁၃၃၈၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133828, here are decompositions:

  • 17 + 133811 = 133828
  • 47 + 133781 = 133828
  • 59 + 133769 = 133828
  • 131 + 133697 = 133828
  • 137 + 133691 = 133828
  • 179 + 133649 = 133828
  • 197 + 133631 = 133828
  • 257 + 133571 = 133828

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫄
CJK Unified Ideograph-20Ac4
U+20AC4
Other letter (Lo)

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

Hex color
#020AC4
RGB(2, 10, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.196.

Address
0.2.10.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.196

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 133,828 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 133828 first appears in π at position 460,478 of the decimal expansion (the 460,478ordinal-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