Live analysis

133,146

133,146 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.).

133,146 (one hundred thirty-three thousand one hundred forty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 569. Its proper divisors sum to 178,074, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2081A.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

133,134 133,135 133,136 133,137 133,138 133,139 133,140 133,141 133,142 133,143 133,144 133,145 133,146 133,147 133,148 133,149 133,150 133,151 133,152 133,153 133,154 133,155 133,156 133,157 133,158

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 216
Digital root: 9
Palindrome: No
Bit width: 18 bits
Reversed: 641,331
Square (n²): 17,727,857,316
Cube (n³): 2,360,393,290,196,136
Divisor count: 24
σ(n) — sum of divisors: 311,220
φ(n) — Euler's totient: 40,896
Sum of prime factors: 590

Primality

Prime factorization: 2 × 3 ² × 13 × 569

Nearest primes: 133,121 (−25) · 133,153 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 569 · 1138 · 1707 · 3414 · 5121 · 7397 · 10242 · 14794 · 22191 · 44382 · 66573 (half) · 133146

Aliquot sum (sum of proper divisors): 178,074

Factor pairs (a × b = 133,146)

1 × 133146

2 × 66573

3 × 44382

6 × 22191

9 × 14794

13 × 10242

18 × 7397

26 × 5121

39 × 3414

78 × 1707

117 × 1138

234 × 569

First multiples

133,146 · 266,292 (double) · 399,438 · 532,584 · 665,730 · 798,876 · 932,022 · 1,065,168 · 1,198,314 · 1,331,460

Sums & aliquot sequence

As a sum of two squares: 135² + 339² = 255² + 261²

As consecutive integers: 44,381 + 44,382 + 44,383 33,285 + 33,286 + 33,287 + 33,288 14,790 + 14,791 + … + 14,798 11,090 + 11,091 + … + 11,101

Aliquot sequence: 133,146 → 178,074 → 237,978 → 341,370 → 546,426 → 678,336 → 1,116,936 → 1,986,264 → 4,282,596 → 6,605,736 → 10,479,864 → 15,815,256 → 23,722,944 → 51,867,456 → 85,365,696 → 168,618,048 → 278,877,120 — unresolved within range

Continued fraction of √n

√133,146 = [364; (1, 8, 4, 5, 1, 1, 80, 1, 1, 5, 4, 8, 1, 728)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand one hundred forty-six
Ordinal: 133146th
Binary: 100000100000011010
Octal: 404032
Hexadecimal: 0x2081A
Base64: Agga
One's complement: 4,294,834,149 (32-bit)
Scientific notation: 1.33146 × 10⁵
As a duration: 133,146 s = 1 day, 12 hours, 59 minutes, 6 seconds

In other bases

ternary (3) 20202122100

quaternary (4) 200200122

quinary (5) 13230041

senary (6) 2504230

septenary (7) 1063116

nonary (9) 222570

undecimal (11) 91042

duodecimal (12) 65076

tridecimal (13) 487b0

tetradecimal (14) 36746

pentadecimal (15) 296b6

As an angle

133,146° = 369 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρλγρμϛʹ
Mayan (base 20): 𝋰·𝋬·𝋱·𝋦
Chinese: 一十三萬三千一百四十六
Chinese (financial): 壹拾參萬參仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ١٣٣١٤٦ Devanagari १३३१४६ Bengali ১৩৩১৪৬ Tamil ௧௩௩௧௪௬ Thai ๑๓๓๑๔๖ Tibetan ༡༣༣༡༤༦ Khmer ១៣៣១៤៦ Lao ໑໓໓໑໔໖ Burmese ၁၃၃၁၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133146, here are decompositions:

29 + 133117 = 133146
37 + 133109 = 133146
43 + 133103 = 133146
59 + 133087 = 133146
73 + 133073 = 133146
107 + 133039 = 133146
113 + 133033 = 133146
157 + 132989 = 133146

Showing the first eight; more decompositions exist.

Unicode codepoint

𠠚

CJK Unified Ideograph-2081A

U+2081A

Other letter (Lo)

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

Lookup U+2081A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02081A

RGB(2, 8, 26)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.26.

Address: 0.2.8.26
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.8.26

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 133,146 and was likely granted around 1872.

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

Look up US133,146 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133146 first appears in π at position 583,796 of the decimal expansion (the 583,796ordinal-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.

Look up 133146 on Pi Search ↗