number.wiki
Live analysis

133,688

133,688 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.).

133,688 (one hundred thirty-three thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 17 × 983. Written other ways, in hexadecimal, 0x20A38.

Arithmetic Number Deficient Number Evil Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,456
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
886,331
Square (n²)
17,872,481,344
Cube (n³)
2,389,336,285,916,672
Divisor count
16
σ(n) — sum of divisors
265,680
φ(n) — Euler's totient
62,848
Sum of prime factors
1,006

Primality

Prime factorization: 2 3 × 17 × 983

Nearest primes: 133,673 (−15) · 133,691 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 17 · 34 · 68 · 136 · 983 · 1966 · 3932 · 7864 · 16711 · 33422 · 66844 (half) · 133688
Aliquot sum (sum of proper divisors): 131,992
Factor pairs (a × b = 133,688)
1 × 133688
2 × 66844
4 × 33422
8 × 16711
17 × 7864
34 × 3932
68 × 1966
136 × 983
First multiples
133,688 · 267,376 (double) · 401,064 · 534,752 · 668,440 · 802,128 · 935,816 · 1,069,504 · 1,203,192 · 1,336,880

Sums & aliquot sequence

As consecutive integers: 8,348 + 8,349 + … + 8,363 7,856 + 7,857 + … + 7,872 356 + 357 + … + 627
Aliquot sequence: 133,688 131,992 150,968 136,312 142,688 210,112 282,140 310,396 240,756 321,036 453,108 623,212 472,988 354,748 271,724 203,800 270,500 — unresolved within range

Continued fraction of √n

√133,688 = [365; (1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 1, 7, 2, 4, 13, 1, 5, 4, 1, 1, 1, 3, 1, 8, …)]

Representations

In words
one hundred thirty-three thousand six hundred eighty-eight
Ordinal
133688th
Binary
100000101000111000
Octal
405070
Hexadecimal
0x20A38
Base64
Ago4
One's complement
4,294,833,607 (32-bit)
Scientific notation
1.33688 × 10⁵
As a duration
133,688 s = 1 day, 13 hours, 8 minutes, 8 seconds
In other bases
ternary (3) 20210101102
quaternary (4) 200220320
quinary (5) 13234223
senary (6) 2510532
septenary (7) 1064522
nonary (9) 223342
undecimal (11) 91495
duodecimal (12) 65448
tridecimal (13) 48b09
tetradecimal (14) 36a12
pentadecimal (15) 29928

As an angle

133,688° = 371 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχπηʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋨
Chinese
一十三萬三千六百八十八
Chinese (financial)
壹拾參萬參仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٣٦٨٨ Devanagari १३३६८८ Bengali ১৩৩৬৮৮ Tamil ௧௩௩௬௮௮ Thai ๑๓๓๖๘๘ Tibetan ༡༣༣༦༨༨ Khmer ១៣៣៦៨៨ Lao ໑໓໓໖໘໘ Burmese ၁၃၃၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133688, here are decompositions:

  • 19 + 133669 = 133688
  • 31 + 133657 = 133688
  • 241 + 133447 = 133688
  • 271 + 133417 = 133688
  • 337 + 133351 = 133688
  • 367 + 133321 = 133688
  • 409 + 133279 = 133688
  • 487 + 133201 = 133688

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨸
CJK Unified Ideograph-20A38
U+20A38
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 B8 (4 bytes).

Hex color
#020A38
RGB(2, 10, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.56.

Address
0.2.10.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.56

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 133,688 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.