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133,098

133,098 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.).

133,098 (one hundred thirty-three thousand ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 3,169. Its proper divisors sum to 171,222, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207EA.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
890,331
Square (n²)
17,715,077,604
Cube (n³)
2,357,841,398,937,192
Divisor count
16
σ(n) — sum of divisors
304,320
φ(n) — Euler's totient
38,016
Sum of prime factors
3,181

Primality

Prime factorization: 2 × 3 × 7 × 3169

Nearest primes: 133,097 (−1) · 133,103 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 3169 · 6338 · 9507 · 19014 · 22183 · 44366 · 66549 (half) · 133098
Aliquot sum (sum of proper divisors): 171,222
Factor pairs (a × b = 133,098)
1 × 133098
2 × 66549
3 × 44366
6 × 22183
7 × 19014
14 × 9507
21 × 6338
42 × 3169
First multiples
133,098 · 266,196 (double) · 399,294 · 532,392 · 665,490 · 798,588 · 931,686 · 1,064,784 · 1,197,882 · 1,330,980

Sums & aliquot sequence

As consecutive integers: 44,365 + 44,366 + 44,367 33,273 + 33,274 + 33,275 + 33,276 19,011 + 19,012 + … + 19,017 11,086 + 11,087 + … + 11,097
Aliquot sequence: 133,098 171,222 171,234 270,174 285,234 291,054 296,466 296,478 498,498 856,254 1,332,546 1,473,054 1,766,826 2,159,574 2,159,586 3,344,094 4,727,970 — unresolved within range

Continued fraction of √n

√133,098 = [364; (1, 4, 1, 2, 1, 17, 1, 32, 4, 1, 1, 3, 1, 3, 4, 1, 5, 5, 1, 6, 21, 1, 27, 9, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand ninety-eight
Ordinal
133098th
Binary
100000011111101010
Octal
403752
Hexadecimal
0x207EA
Base64
Agfq
One's complement
4,294,834,197 (32-bit)
Scientific notation
1.33098 × 10⁵
As a duration
133,098 s = 1 day, 12 hours, 58 minutes, 18 seconds
In other bases
ternary (3) 20202120120
quaternary (4) 200133222
quinary (5) 13224343
senary (6) 2504110
septenary (7) 1063020
nonary (9) 222516
undecimal (11) 90aa9
duodecimal (12) 65036
tridecimal (13) 48774
tetradecimal (14) 36710
pentadecimal (15) 29683

As an angle

133,098° = 369 × 360° + 258°
258° ≈ 4.503 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϟηʹ
Mayan (base 20)
𝋰·𝋬·𝋮·𝋲
Chinese
一十三萬三千零九十八
Chinese (financial)
壹拾參萬參仟零玖拾捌
In other modern scripts
Eastern Arabic ١٣٣٠٩٨ Devanagari १३३०९८ Bengali ১৩৩০৯৮ Tamil ௧௩௩௦௯௮ Thai ๑๓๓๐๙๘ Tibetan ༡༣༣༠༩༨ Khmer ១៣៣០៩៨ Lao ໑໓໓໐໙໘ Burmese ၁၃၃၀၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133098, here are decompositions:

  • 11 + 133087 = 133098
  • 29 + 133069 = 133098
  • 47 + 133051 = 133098
  • 59 + 133039 = 133098
  • 109 + 132989 = 133098
  • 127 + 132971 = 133098
  • 131 + 132967 = 133098
  • 137 + 132961 = 133098

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟪
CJK Unified Ideograph-207Ea
U+207EA
Other letter (Lo)

UTF-8 encoding: F0 A0 9F AA (4 bytes).

Hex color
#0207EA
RGB(2, 7, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.234.

Address
0.2.7.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.234

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 133,098 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 133098 first appears in π at position 330,097 of the decimal expansion (the 330,097ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.