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133,176

133,176 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.).

133,176 (one hundred thirty-three thousand one hundred seventy-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 31 × 179. Its proper divisors sum to 212,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20838.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
378
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
671,331
Square (n²)
17,735,846,976
Cube (n³)
2,361,989,156,875,776
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
42,720
Sum of prime factors
219

Primality

Prime factorization: 2 3 × 3 × 31 × 179

Nearest primes: 133,169 (−7) · 133,183 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 31 · 62 · 93 · 124 · 179 · 186 · 248 · 358 · 372 · 537 · 716 · 744 · 1074 · 1432 · 2148 · 4296 · 5549 · 11098 · 16647 · 22196 · 33294 · 44392 · 66588 (half) · 133176
Aliquot sum (sum of proper divisors): 212,424
Factor pairs (a × b = 133,176)
1 × 133176
2 × 66588
3 × 44392
4 × 33294
6 × 22196
8 × 16647
12 × 11098
24 × 5549
31 × 4296
62 × 2148
93 × 1432
124 × 1074
179 × 744
186 × 716
248 × 537
358 × 372
First multiples
133,176 · 266,352 (double) · 399,528 · 532,704 · 665,880 · 799,056 · 932,232 · 1,065,408 · 1,198,584 · 1,331,760

Sums & aliquot sequence

As consecutive integers: 44,391 + 44,392 + 44,393 8,316 + 8,317 + … + 8,331 4,281 + 4,282 + … + 4,311 2,751 + 2,752 + … + 2,798
Aliquot sequence: 133,176 212,424 331,896 497,904 1,002,000 2,247,792 3,559,128 5,558,232 8,481,048 12,808,152 29,009,448 57,779,352 102,719,448 207,845,352 476,395,128 1,006,516,872 1,833,775,128 — unresolved within range

Continued fraction of √n

√133,176 = [364; (1, 13, 1, 8, 1, 2, 31, 2, 1, 1, 2, 1, 5, 2, 2, 3, 5, 1, 5, 4, 6, 1, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred seventy-six
Ordinal
133176th
Binary
100000100000111000
Octal
404070
Hexadecimal
0x20838
Base64
Agg4
One's complement
4,294,834,119 (32-bit)
Scientific notation
1.33176 × 10⁵
As a duration
133,176 s = 1 day, 12 hours, 59 minutes, 36 seconds
In other bases
ternary (3) 20202200110
quaternary (4) 200200320
quinary (5) 13230201
senary (6) 2504320
septenary (7) 1063161
nonary (9) 222613
undecimal (11) 9106a
duodecimal (12) 650a0
tridecimal (13) 48804
tetradecimal (14) 36768
pentadecimal (15) 296d6

As an angle

133,176° = 369 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγροϛʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋰
Chinese
一十三萬三千一百七十六
Chinese (financial)
壹拾參萬參仟壹佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٣١٧٦ Devanagari १३३१७६ Bengali ১৩৩১৭৬ Tamil ௧௩௩௧௭௬ Thai ๑๓๓๑๗๖ Tibetan ༡༣༣༡༧༦ Khmer ១៣៣១៧៦ Lao ໑໓໓໑໗໖ Burmese ၁၃၃၁၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133176, here are decompositions:

  • 7 + 133169 = 133176
  • 19 + 133157 = 133176
  • 23 + 133153 = 133176
  • 59 + 133117 = 133176
  • 67 + 133109 = 133176
  • 73 + 133103 = 133176
  • 79 + 133097 = 133176
  • 89 + 133087 = 133176

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠸
CJK Unified Ideograph-20838
U+20838
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 B8 (4 bytes).

Hex color
#020838
RGB(2, 8, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.56.

Address
0.2.8.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.56

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 133,176 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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