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133,052

133,052 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.).

133,052 (one hundred thirty-three thousand fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 29 × 31 × 37. Written other ways, in hexadecimal, 0x207BC.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
250,331
Square (n²)
17,702,834,704
Cube (n³)
2,355,397,563,036,608
Divisor count
24
σ(n) — sum of divisors
255,360
φ(n) — Euler's totient
60,480
Sum of prime factors
101

Primality

Prime factorization: 2 2 × 29 × 31 × 37

Nearest primes: 133,051 (−1) · 133,069 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 29 · 31 · 37 · 58 · 62 · 74 · 116 · 124 · 148 · 899 · 1073 · 1147 · 1798 · 2146 · 2294 · 3596 · 4292 · 4588 · 33263 · 66526 (half) · 133052
Aliquot sum (sum of proper divisors): 122,308
Factor pairs (a × b = 133,052)
1 × 133052
2 × 66526
4 × 33263
29 × 4588
31 × 4292
37 × 3596
58 × 2294
62 × 2146
74 × 1798
116 × 1147
124 × 1073
148 × 899
First multiples
133,052 · 266,104 (double) · 399,156 · 532,208 · 665,260 · 798,312 · 931,364 · 1,064,416 · 1,197,468 · 1,330,520

Sums & aliquot sequence

As consecutive integers: 16,628 + 16,629 + … + 16,635 4,574 + 4,575 + … + 4,602 4,277 + 4,278 + … + 4,307 3,578 + 3,579 + … + 3,614
Aliquot sequence: 133,052 122,308 91,738 45,872 46,384 50,832 91,830 128,634 152,166 195,738 244,902 360,114 376,014 402,306 444,894 444,906 799,254 — unresolved within range

Continued fraction of √n

√133,052 = [364; (1, 3, 4, 1, 1, 2, 1, 1, 2, 1, 2, 4, 1, 1, 8, 4, 5, 182, 5, 4, 8, 1, 1, 4, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand fifty-two
Ordinal
133052nd
Binary
100000011110111100
Octal
403674
Hexadecimal
0x207BC
Base64
Age8
One's complement
4,294,834,243 (32-bit)
Scientific notation
1.33052 × 10⁵
As a duration
133,052 s = 1 day, 12 hours, 57 minutes, 32 seconds
In other bases
ternary (3) 20202111212
quaternary (4) 200132330
quinary (5) 13224202
senary (6) 2503552
septenary (7) 1062623
nonary (9) 222455
undecimal (11) 90a67
duodecimal (12) 64bb8
tridecimal (13) 4873a
tetradecimal (14) 366ba
pentadecimal (15) 29652

As an angle

133,052° = 369 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγνβʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋬
Chinese
一十三萬三千零五十二
Chinese (financial)
壹拾參萬參仟零伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٠٥٢ Devanagari १३३०५२ Bengali ১৩৩০৫২ Tamil ௧௩௩௦௫௨ Thai ๑๓๓๐๕๒ Tibetan ༡༣༣༠༥༢ Khmer ១៣៣០៥២ Lao ໑໓໓໐໕໒ Burmese ၁၃၃၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133052, here are decompositions:

  • 13 + 133039 = 133052
  • 19 + 133033 = 133052
  • 103 + 132949 = 133052
  • 193 + 132859 = 133052
  • 313 + 132739 = 133052
  • 331 + 132721 = 133052
  • 373 + 132679 = 133052
  • 421 + 132631 = 133052

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞼
CJK Unified Ideograph-207Bc
U+207BC
Other letter (Lo)

UTF-8 encoding: F0 A0 9E BC (4 bytes).

Hex color
#0207BC
RGB(2, 7, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.188.

Address
0.2.7.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.188

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 133,052 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 133052 first appears in π at position 739,023 of the decimal expansion (the 739,023ordinal-suffix:rd 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

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