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133,864

133,864 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.).

133,864 (one hundred thirty-three thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 577. Written other ways, in hexadecimal, 0x20AE8.

Deficient Number Odious Number Pernicious 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
468,331
Square (n²)
17,919,570,496
Cube (n³)
2,398,785,384,876,544
Divisor count
16
σ(n) — sum of divisors
260,100
φ(n) — Euler's totient
64,512
Sum of prime factors
612

Primality

Prime factorization: 2 3 × 29 × 577

Nearest primes: 133,853 (−11) · 133,873 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 577 · 1154 · 2308 · 4616 · 16733 · 33466 · 66932 (half) · 133864
Aliquot sum (sum of proper divisors): 126,236
Factor pairs (a × b = 133,864)
1 × 133864
2 × 66932
4 × 33466
8 × 16733
29 × 4616
58 × 2308
116 × 1154
232 × 577
First multiples
133,864 · 267,728 (double) · 401,592 · 535,456 · 669,320 · 803,184 · 937,048 · 1,070,912 · 1,204,776 · 1,338,640

Sums & aliquot sequence

As a sum of two squares: 130² + 342² = 158² + 330²
As consecutive integers: 8,359 + 8,360 + … + 8,374 4,602 + 4,603 + … + 4,630 57 + 58 + … + 520
Aliquot sequence: 133,864 126,236 129,124 108,876 152,308 147,572 114,508 85,888 103,832 90,868 68,158 36,170 28,954 15,974 12,070 11,258 6,970 — unresolved within range

Continued fraction of √n

√133,864 = [365; (1, 6, 1, 21, 3, 2, 1, 12, 7, 4, 5, 3, 3, 4, 1, 1, 19, 1, 3, 2, 3, 10, 1, 29, …)]

Representations

In words
one hundred thirty-three thousand eight hundred sixty-four
Ordinal
133864th
Binary
100000101011101000
Octal
405350
Hexadecimal
0x20AE8
Base64
Agro
One's complement
4,294,833,431 (32-bit)
Scientific notation
1.33864 × 10⁵
As a duration
133,864 s = 1 day, 13 hours, 11 minutes, 4 seconds
In other bases
ternary (3) 20210121221
quaternary (4) 200223220
quinary (5) 13240424
senary (6) 2511424
septenary (7) 1065163
nonary (9) 223557
undecimal (11) 91635
duodecimal (12) 65574
tridecimal (13) 48c13
tetradecimal (14) 36ada
pentadecimal (15) 299e4

As an angle

133,864° = 371 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωξδʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋤
Chinese
一十三萬三千八百六十四
Chinese (financial)
壹拾參萬參仟捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٦٤ Devanagari १३३८६४ Bengali ১৩৩৮৬৪ Tamil ௧௩௩௮௬௪ Thai ๑๓๓๘๖๔ Tibetan ༡༣༣༨༦༤ Khmer ១៣៣៨៦៤ Lao ໑໓໓໘໖໔ Burmese ၁၃၃၈၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133864, here are decompositions:

  • 11 + 133853 = 133864
  • 53 + 133811 = 133864
  • 83 + 133781 = 133864
  • 131 + 133733 = 133864
  • 167 + 133697 = 133864
  • 173 + 133691 = 133864
  • 191 + 133673 = 133864
  • 233 + 133631 = 133864

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫨
CJK Unified Ideograph-20Ae8
U+20AE8
Other letter (Lo)

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

Hex color
#020AE8
RGB(2, 10, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.232.

Address
0.2.10.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.232

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 133,864 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 133864 first appears in π at position 257,188 of the decimal expansion (the 257,188ordinal-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