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133,172

133,172 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.).

133,172 (one hundred thirty-three thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 13² × 197. Written other ways, in hexadecimal, 0x20834.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
271,331
Square (n²)
17,734,781,584
Cube (n³)
2,361,776,333,104,448
Divisor count
18
σ(n) — sum of divisors
253,638
φ(n) — Euler's totient
61,152
Sum of prime factors
227

Primality

Prime factorization: 2 2 × 13 2 × 197

Nearest primes: 133,169 (−3) · 133,183 (+11)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 13 · 26 · 52 · 169 · 197 · 338 · 394 · 676 · 788 · 2561 · 5122 · 10244 · 33293 · 66586 (half) · 133172
Aliquot sum (sum of proper divisors): 120,466
Factor pairs (a × b = 133,172)
1 × 133172
2 × 66586
4 × 33293
13 × 10244
26 × 5122
52 × 2561
169 × 788
197 × 676
338 × 394
First multiples
133,172 · 266,344 (double) · 399,516 · 532,688 · 665,860 · 799,032 · 932,204 · 1,065,376 · 1,198,548 · 1,331,720

Sums & aliquot sequence

As a sum of two squares: 26² + 364² = 116² + 346² = 164² + 326²
As consecutive integers: 16,643 + 16,644 + … + 16,650 10,238 + 10,239 + … + 10,250 1,229 + 1,230 + … + 1,332 704 + 705 + … + 872
Aliquot sequence: 133,172 120,466 75,374 47,602 23,804 21,724 16,300 19,288 16,892 13,684 12,524 10,324 8,576 8,764 8,820 22,302 35,298 — unresolved within range

Continued fraction of √n

√133,172 = [364; (1, 12, 1, 3, 2, 1, 1, 3, 2, 3, 1, 3, 1, 1, 5, 5, 3, 4, 182, 4, 3, 5, 5, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred seventy-two
Ordinal
133172nd
Binary
100000100000110100
Octal
404064
Hexadecimal
0x20834
Base64
Agg0
One's complement
4,294,834,123 (32-bit)
Scientific notation
1.33172 × 10⁵
As a duration
133,172 s = 1 day, 12 hours, 59 minutes, 32 seconds
In other bases
ternary (3) 20202200022
quaternary (4) 200200310
quinary (5) 13230142
senary (6) 2504312
septenary (7) 1063154
nonary (9) 222608
undecimal (11) 91066
duodecimal (12) 65098
tridecimal (13) 48800
tetradecimal (14) 36764
pentadecimal (15) 296d2

As an angle

133,172° = 369 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγροβʹ
Mayan (base 20)
𝋰·𝋬·𝋲·𝋬
Chinese
一十三萬三千一百七十二
Chinese (financial)
壹拾參萬參仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣١٧٢ Devanagari १३३१७२ Bengali ১৩৩১৭২ Tamil ௧௩௩௧௭௨ Thai ๑๓๓๑๗๒ Tibetan ༡༣༣༡༧༢ Khmer ១៣៣១៧២ Lao ໑໓໓໑໗໒ Burmese ၁၃၃၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133172, here are decompositions:

  • 3 + 133169 = 133172
  • 19 + 133153 = 133172
  • 103 + 133069 = 133172
  • 139 + 133033 = 133172
  • 211 + 132961 = 133172
  • 223 + 132949 = 133172
  • 313 + 132859 = 133172
  • 409 + 132763 = 133172

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠴
CJK Unified Ideograph-20834
U+20834
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 B4 (4 bytes).

Hex color
#020834
RGB(2, 8, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.52.

Address
0.2.8.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.52

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 133,172 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

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