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133,198

133,198 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.).

133,198 (one hundred thirty-three thousand one hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 47 × 109. Written other ways, in hexadecimal, 0x2084E.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
891,331
Square (n²)
17,741,707,204
Cube (n³)
2,363,159,916,158,392
Divisor count
16
σ(n) — sum of divisors
221,760
φ(n) — Euler's totient
59,616
Sum of prime factors
171

Primality

Prime factorization: 2 × 13 × 47 × 109

Nearest primes: 133,187 (−11) · 133,201 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 47 · 94 · 109 · 218 · 611 · 1222 · 1417 · 2834 · 5123 · 10246 · 66599 (half) · 133198
Aliquot sum (sum of proper divisors): 88,562
Factor pairs (a × b = 133,198)
1 × 133198
2 × 66599
13 × 10246
26 × 5123
47 × 2834
94 × 1417
109 × 1222
218 × 611
First multiples
133,198 · 266,396 (double) · 399,594 · 532,792 · 665,990 · 799,188 · 932,386 · 1,065,584 · 1,198,782 · 1,331,980

Sums & aliquot sequence

As consecutive integers: 33,298 + 33,299 + 33,300 + 33,301 10,240 + 10,241 + … + 10,252 2,811 + 2,812 + … + 2,857 2,536 + 2,537 + … + 2,587
Aliquot sequence: 133,198 88,562 44,284 33,220 43,388 32,548 25,692 34,284 45,740 50,356 37,774 28,322 24,175 5,833 327 113 1 — unresolved within range

Continued fraction of √n

√133,198 = [364; (1, 26, 28, 26, 1, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred ninety-eight
Ordinal
133198th
Binary
100000100001001110
Octal
404116
Hexadecimal
0x2084E
Base64
AghO
One's complement
4,294,834,097 (32-bit)
Scientific notation
1.33198 × 10⁵
As a duration
133,198 s = 1 day, 12 hours, 59 minutes, 58 seconds
In other bases
ternary (3) 20202201021
quaternary (4) 200201032
quinary (5) 13230243
senary (6) 2504354
septenary (7) 1063222
nonary (9) 222637
undecimal (11) 9108a
duodecimal (12) 650ba
tridecimal (13) 48820
tetradecimal (14) 36782
pentadecimal (15) 296ed

As an angle

133,198° = 369 × 360° + 358°
358° ≈ 6.248 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρϟηʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋲
Chinese
一十三萬三千一百九十八
Chinese (financial)
壹拾參萬參仟壹佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٣١٩٨ Devanagari १३३१९८ Bengali ১৩৩১৯৮ Tamil ௧௩௩௧௯௮ Thai ๑๓๓๑๙๘ Tibetan ༡༣༣༡༩༨ Khmer ១៣៣១៩៨ Lao ໑໓໓໑໙໘ Burmese ၁၃၃၁၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133198, here are decompositions:

  • 11 + 133187 = 133198
  • 29 + 133169 = 133198
  • 41 + 133157 = 133198
  • 89 + 133109 = 133198
  • 101 + 133097 = 133198
  • 227 + 132971 = 133198
  • 251 + 132947 = 133198
  • 269 + 132929 = 133198

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡎
CJK Unified Ideograph-2084E
U+2084E
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 8E (4 bytes).

Hex color
#02084E
RGB(2, 8, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.78.

Address
0.2.8.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.78

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 133,198 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 133198 first appears in π at position 112,438 of the decimal expansion (the 112,438ordinal-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