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133,298

133,298 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.).

133,298 (one hundred thirty-three thousand two hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 73 × 83. Written other ways, in hexadecimal, 0x208B2.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
892,331
Recamán's sequence
a(35,256) = 133,298
Square (n²)
17,768,356,804
Cube (n³)
2,368,486,425,259,592
Divisor count
16
σ(n) — sum of divisors
223,776
φ(n) — Euler's totient
59,040
Sum of prime factors
169

Primality

Prime factorization: 2 × 11 × 73 × 83

Nearest primes: 133,283 (−15) · 133,303 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 73 · 83 · 146 · 166 · 803 · 913 · 1606 · 1826 · 6059 · 12118 · 66649 (half) · 133298
Aliquot sum (sum of proper divisors): 90,478
Factor pairs (a × b = 133,298)
1 × 133298
2 × 66649
11 × 12118
22 × 6059
73 × 1826
83 × 1606
146 × 913
166 × 803
First multiples
133,298 · 266,596 (double) · 399,894 · 533,192 · 666,490 · 799,788 · 933,086 · 1,066,384 · 1,199,682 · 1,332,980

Sums & aliquot sequence

As consecutive integers: 33,323 + 33,324 + 33,325 + 33,326 12,113 + 12,114 + … + 12,123 3,008 + 3,009 + … + 3,051 1,790 + 1,791 + … + 1,862
Aliquot sequence: 133,298 90,478 52,442 32,314 16,934 8,470 10,682 8,128 8,128 — reaches a perfect number

Continued fraction of √n

√133,298 = [365; (10, 730)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred ninety-eight
Ordinal
133298th
Binary
100000100010110010
Octal
404262
Hexadecimal
0x208B2
Base64
Agiy
One's complement
4,294,833,997 (32-bit)
Scientific notation
1.33298 × 10⁵
As a duration
133,298 s = 1 day, 13 hours, 1 minute, 38 seconds
In other bases
ternary (3) 20202211222
quaternary (4) 200202302
quinary (5) 13231143
senary (6) 2505042
septenary (7) 1063424
nonary (9) 222758
undecimal (11) 91170
duodecimal (12) 65182
tridecimal (13) 48899
tetradecimal (14) 36814
pentadecimal (15) 29768

As an angle

133,298° = 370 × 360° + 98°
98° ≈ 1.71 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσϟηʹ
Mayan (base 20)
𝋰·𝋭·𝋤·𝋲
Chinese
一十三萬三千二百九十八
Chinese (financial)
壹拾參萬參仟貳佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٩٨ Devanagari १३३२९८ Bengali ১৩৩২৯৮ Tamil ௧௩௩௨௯௮ Thai ๑๓๓๒๙๘ Tibetan ༡༣༣༢༩༨ Khmer ១៣៣២៩៨ Lao ໑໓໓໒໙໘ Burmese ၁၃၃၂၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133298, here are decompositions:

  • 19 + 133279 = 133298
  • 37 + 133261 = 133298
  • 97 + 133201 = 133298
  • 181 + 133117 = 133298
  • 211 + 133087 = 133298
  • 229 + 133069 = 133298
  • 331 + 132967 = 133298
  • 337 + 132961 = 133298

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢲
CJK Unified Ideograph-208B2
U+208B2
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B2 (4 bytes).

Hex color
#0208B2
RGB(2, 8, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.178.

Address
0.2.8.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.178

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 133,298 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 133298 first appears in π at position 924,181 of the decimal expansion (the 924,181ordinal-suffix:st 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.