number.wiki
Live analysis

133,048

133,048 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.).

133,048 (one hundred thirty-three thousand forty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 16,631. Written other ways, in hexadecimal, 0x207B8.

Arithmetic Number Deficient Number Evil Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
840,331
Square (n²)
17,701,770,304
Cube (n³)
2,355,185,135,406,592
Divisor count
8
σ(n) — sum of divisors
249,480
φ(n) — Euler's totient
66,520
Sum of prime factors
16,637

Primality

Prime factorization: 2 3 × 16631

Nearest primes: 133,039 (−9) · 133,051 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 16631 · 33262 · 66524 (half) · 133048
Aliquot sum (sum of proper divisors): 116,432
Factor pairs (a × b = 133,048)
1 × 133048
2 × 66524
4 × 33262
8 × 16631
First multiples
133,048 · 266,096 (double) · 399,144 · 532,192 · 665,240 · 798,288 · 931,336 · 1,064,384 · 1,197,432 · 1,330,480

Sums & aliquot sequence

As consecutive integers: 8,308 + 8,309 + … + 8,323
Aliquot sequence: 133,048 116,432 121,648 114,076 99,284 74,470 71,978 47,902 25,754 13,606 6,806 3,778 1,892 1,804 1,724 1,300 1,738 — unresolved within range

Continued fraction of √n

√133,048 = [364; (1, 3, 8, 7, 2, 1, 1, 90, 1, 1, 2, 7, 8, 3, 1, 728)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand forty-eight
Ordinal
133048th
Binary
100000011110111000
Octal
403670
Hexadecimal
0x207B8
Base64
Age4
One's complement
4,294,834,247 (32-bit)
Scientific notation
1.33048 × 10⁵
As a duration
133,048 s = 1 day, 12 hours, 57 minutes, 28 seconds
In other bases
ternary (3) 20202111201
quaternary (4) 200132320
quinary (5) 13224143
senary (6) 2503544
septenary (7) 1062616
nonary (9) 222451
undecimal (11) 90a63
duodecimal (12) 64bb4
tridecimal (13) 48736
tetradecimal (14) 366b6
pentadecimal (15) 2964d

As an angle

133,048° = 369 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγμηʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋨
Chinese
一十三萬三千零四十八
Chinese (financial)
壹拾參萬參仟零肆拾捌
In other modern scripts
Eastern Arabic ١٣٣٠٤٨ Devanagari १३३०४८ Bengali ১৩৩০৪৮ Tamil ௧௩௩௦௪௮ Thai ๑๓๓๐๔๘ Tibetan ༡༣༣༠༤༨ Khmer ១៣៣០៤៨ Lao ໑໓໓໐໔໘ Burmese ၁၃၃၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133048, here are decompositions:

  • 59 + 132989 = 133048
  • 101 + 132947 = 133048
  • 137 + 132911 = 133048
  • 191 + 132857 = 133048
  • 197 + 132851 = 133048
  • 347 + 132701 = 133048
  • 359 + 132689 = 133048
  • 401 + 132647 = 133048

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞸
CJK Unified Ideograph-207B8
U+207B8
Other letter (Lo)

UTF-8 encoding: F0 A0 9E B8 (4 bytes).

Hex color
#0207B8
RGB(2, 7, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.184.

Address
0.2.7.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.184

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 133,048 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