number.wiki
Live analysis

133,324

133,324 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.).

133,324 (one hundred thirty-three thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,331. Written other ways, in hexadecimal, 0x208CC.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
216
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
423,331
Recamán's sequence
a(35,308) = 133,324
Square (n²)
17,775,288,976
Cube (n³)
2,369,872,627,436,224
Divisor count
6
σ(n) — sum of divisors
233,324
φ(n) — Euler's totient
66,660
Sum of prime factors
33,335

Primality

Prime factorization: 2 2 × 33331

Nearest primes: 133,321 (−3) · 133,327 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33331 · 66662 (half) · 133324
Aliquot sum (sum of proper divisors): 100,000
Factor pairs (a × b = 133,324)
1 × 133324
2 × 66662
4 × 33331
First multiples
133,324 · 266,648 (double) · 399,972 · 533,296 · 666,620 · 799,944 · 933,268 · 1,066,592 · 1,199,916 · 1,333,240

Sums & aliquot sequence

As consecutive integers: 16,662 + 16,663 + … + 16,669
Aliquot sequence: 133,324 100,000 146,078 73,042 38,558 23,770 19,034 10,534 6,026 3,478 1,994 1,000 1,340 1,516 1,144 1,376 1,396 — unresolved within range

Continued fraction of √n

√133,324 = [365; (7, 2, 1, 1, 1, 145, 2, 2, 1, 13, 3, 28, 1, 7, 1, 2, 1, 2, 15, 5, 1, 3, 2, 17, …)]

Representations

In words
one hundred thirty-three thousand three hundred twenty-four
Ordinal
133324th
Binary
100000100011001100
Octal
404314
Hexadecimal
0x208CC
Base64
AgjM
One's complement
4,294,833,971 (32-bit)
Scientific notation
1.33324 × 10⁵
As a duration
133,324 s = 1 day, 13 hours, 2 minutes, 4 seconds
In other bases
ternary (3) 20202212221
quaternary (4) 200203030
quinary (5) 13231244
senary (6) 2505124
septenary (7) 1063462
nonary (9) 222787
undecimal (11) 91194
duodecimal (12) 651a4
tridecimal (13) 488b9
tetradecimal (14) 36832
pentadecimal (15) 29784

As an angle

133,324° = 370 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτκδʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋤
Chinese
一十三萬三千三百二十四
Chinese (financial)
壹拾參萬參仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٣٣٢٤ Devanagari १३३३२४ Bengali ১৩৩৩২৪ Tamil ௧௩௩௩௨௪ Thai ๑๓๓๓๒๔ Tibetan ༡༣༣༣༢༤ Khmer ១៣៣៣២៤ Lao ໑໓໓໓໒໔ Burmese ၁၃၃၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133324, here are decompositions:

  • 3 + 133321 = 133324
  • 5 + 133319 = 133324
  • 41 + 133283 = 133324
  • 47 + 133277 = 133324
  • 53 + 133271 = 133324
  • 71 + 133253 = 133324
  • 83 + 133241 = 133324
  • 137 + 133187 = 133324

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣌
CJK Unified Ideograph-208Cc
U+208CC
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 8C (4 bytes).

Hex color
#0208CC
RGB(2, 8, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.204.

Address
0.2.8.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.204

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 133,324 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 133324 first appears in π at position 215,940 of the decimal expansion (the 215,940ordinal-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