number.wiki
Live analysis

133,292

133,292 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.).

133,292 (one hundred thirty-three thousand two hundred ninety-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 709. Written other ways, in hexadecimal, 0x208AC.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
324
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
292,331
Recamán's sequence
a(35,244) = 133,292
Square (n²)
17,766,757,264
Cube (n³)
2,368,166,609,233,088
Divisor count
12
σ(n) — sum of divisors
238,560
φ(n) — Euler's totient
65,136
Sum of prime factors
760

Primality

Prime factorization: 2 2 × 47 × 709

Nearest primes: 133,283 (−9) · 133,303 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 94 · 188 · 709 · 1418 · 2836 · 33323 · 66646 (half) · 133292
Aliquot sum (sum of proper divisors): 105,268
Factor pairs (a × b = 133,292)
1 × 133292
2 × 66646
4 × 33323
47 × 2836
94 × 1418
188 × 709
First multiples
133,292 · 266,584 (double) · 399,876 · 533,168 · 666,460 · 799,752 · 933,044 · 1,066,336 · 1,199,628 · 1,332,920

Sums & aliquot sequence

As consecutive integers: 16,658 + 16,659 + … + 16,665 2,813 + 2,814 + … + 2,859 167 + 168 + … + 542
Aliquot sequence: 133,292 105,268 78,958 55,106 29,134 20,834 13,294 8,810 7,066 3,536 4,276 3,214 1,610 1,846 1,178 742 554 — unresolved within range

Continued fraction of √n

√133,292 = [365; (10, 1, 8, 1, 2, 3, 6, 1, 2, 1, 1, 2, 16, 4, 1, 5, 4, 3, 3, 1, 14, 1, 3, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred ninety-two
Ordinal
133292nd
Binary
100000100010101100
Octal
404254
Hexadecimal
0x208AC
Base64
Agis
One's complement
4,294,834,003 (32-bit)
Scientific notation
1.33292 × 10⁵
As a duration
133,292 s = 1 day, 13 hours, 1 minute, 32 seconds
In other bases
ternary (3) 20202211202
quaternary (4) 200202230
quinary (5) 13231132
senary (6) 2505032
septenary (7) 1063415
nonary (9) 222752
undecimal (11) 91165
duodecimal (12) 65178
tridecimal (13) 48893
tetradecimal (14) 3680c
pentadecimal (15) 29762

As an angle

133,292° = 370 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσϟβʹ
Mayan (base 20)
𝋰·𝋭·𝋤·𝋬
Chinese
一十三萬三千二百九十二
Chinese (financial)
壹拾參萬參仟貳佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٣٢٩٢ Devanagari १३३२९२ Bengali ১৩৩২৯২ Tamil ௧௩௩௨௯௨ Thai ๑๓๓๒๙๒ Tibetan ༡༣༣༢༩༢ Khmer ១៣៣២៩២ Lao ໑໓໓໒໙໒ Burmese ၁၃၃၂၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133292, here are decompositions:

  • 13 + 133279 = 133292
  • 31 + 133261 = 133292
  • 79 + 133213 = 133292
  • 109 + 133183 = 133292
  • 139 + 133153 = 133292
  • 223 + 133069 = 133292
  • 241 + 133051 = 133292
  • 331 + 132961 = 133292

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢬
CJK Unified Ideograph-208Ac
U+208AC
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 AC (4 bytes).

Hex color
#0208AC
RGB(2, 8, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.172.

Address
0.2.8.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.172

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 133,292 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 133292 first appears in π at position 800,765 of the decimal expansion (the 800,765ordinal-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

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