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133,684

133,684 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.).

133,684 (one hundred thirty-three thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 1,759. Written other ways, in hexadecimal, 0x20A34.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,728
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
486,331
Square (n²)
17,871,411,856
Cube (n³)
2,389,121,822,557,504
Divisor count
12
σ(n) — sum of divisors
246,400
φ(n) — Euler's totient
63,288
Sum of prime factors
1,782

Primality

Prime factorization: 2 2 × 19 × 1759

Nearest primes: 133,673 (−11) · 133,691 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 1759 · 3518 · 7036 · 33421 · 66842 (half) · 133684
Aliquot sum (sum of proper divisors): 112,716
Factor pairs (a × b = 133,684)
1 × 133684
2 × 66842
4 × 33421
19 × 7036
38 × 3518
76 × 1759
First multiples
133,684 · 267,368 (double) · 401,052 · 534,736 · 668,420 · 802,104 · 935,788 · 1,069,472 · 1,203,156 · 1,336,840

Sums & aliquot sequence

As consecutive integers: 16,707 + 16,708 + … + 16,714 7,027 + 7,028 + … + 7,045 804 + 805 + … + 955
Aliquot sequence: 133,684 112,716 184,308 245,772 375,576 563,424 915,816 1,582,584 2,702,856 4,574,904 7,536,216 11,496,984 17,245,536 39,218,592 85,394,400 292,581,408 593,160,288 — unresolved within range

Continued fraction of √n

√133,684 = [365; (1, 1, 1, 2, 4, 2, 7, 4, 48, 1, 1, 28, 1, 2, 1, 12, 12, 3, 5, 1, 47, 1, 9, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred eighty-four
Ordinal
133684th
Binary
100000101000110100
Octal
405064
Hexadecimal
0x20A34
Base64
Ago0
One's complement
4,294,833,611 (32-bit)
Scientific notation
1.33684 × 10⁵
As a duration
133,684 s = 1 day, 13 hours, 8 minutes, 4 seconds
In other bases
ternary (3) 20210101021
quaternary (4) 200220310
quinary (5) 13234214
senary (6) 2510524
septenary (7) 1064515
nonary (9) 223337
undecimal (11) 91491
duodecimal (12) 65444
tridecimal (13) 48b05
tetradecimal (14) 36a0c
pentadecimal (15) 29924

As an angle

133,684° = 371 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχπδʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋤
Chinese
一十三萬三千六百八十四
Chinese (financial)
壹拾參萬參仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٦٨٤ Devanagari १३३६८४ Bengali ১৩৩৬৮৪ Tamil ௧௩௩௬௮௪ Thai ๑๓๓๖๘๔ Tibetan ༡༣༣༦༨༤ Khmer ១៣៣៦៨៤ Lao ໑໓໓໖໘໔ Burmese ၁၃၃၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133684, here are decompositions:

  • 11 + 133673 = 133684
  • 53 + 133631 = 133684
  • 101 + 133583 = 133684
  • 113 + 133571 = 133684
  • 191 + 133493 = 133684
  • 233 + 133451 = 133684
  • 281 + 133403 = 133684
  • 293 + 133391 = 133684

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨴
CJK Unified Ideograph-20A34
U+20A34
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 B4 (4 bytes).

Hex color
#020A34
RGB(2, 10, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.52.

Address
0.2.10.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.52

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 133,684 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 133684 first appears in π at position 431,135 of the decimal expansion (the 431,135ordinal-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