number.wiki
Live analysis

133,448

133,448 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.).

133,448 (one hundred thirty-three thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,383. Its proper divisors sum to 152,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20948.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,152
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
844,331
Recamán's sequence
a(35,556) = 133,448
Square (n²)
17,808,368,704
Cube (n³)
2,376,491,186,811,392
Divisor count
16
σ(n) — sum of divisors
286,080
φ(n) — Euler's totient
57,168
Sum of prime factors
2,396

Primality

Prime factorization: 2 3 × 7 × 2383

Nearest primes: 133,447 (−1) · 133,451 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2383 · 4766 · 9532 · 16681 · 19064 · 33362 · 66724 (half) · 133448
Aliquot sum (sum of proper divisors): 152,632
Factor pairs (a × b = 133,448)
1 × 133448
2 × 66724
4 × 33362
7 × 19064
8 × 16681
14 × 9532
28 × 4766
56 × 2383
First multiples
133,448 · 266,896 (double) · 400,344 · 533,792 · 667,240 · 800,688 · 934,136 · 1,067,584 · 1,201,032 · 1,334,480

Sums & aliquot sequence

As consecutive integers: 19,061 + 19,062 + … + 19,067 8,333 + 8,334 + … + 8,348 1,136 + 1,137 + … + 1,247
Aliquot sequence: 133,448 152,632 133,568 131,608 115,172 86,386 46,094 26,746 14,438 7,222 4,154 2,374 1,190 1,402 704 820 944 — unresolved within range

Continued fraction of √n

√133,448 = [365; (3, 3, 1, 1, 1, 3, 6, 1, 4, 1, 1, 25, 1, 1, 4, 1, 6, 3, 1, 1, 1, 3, 3, 730)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred forty-eight
Ordinal
133448th
Binary
100000100101001000
Octal
404510
Hexadecimal
0x20948
Base64
AglI
One's complement
4,294,833,847 (32-bit)
Scientific notation
1.33448 × 10⁵
As a duration
133,448 s = 1 day, 13 hours, 4 minutes, 8 seconds
In other bases
ternary (3) 20210001112
quaternary (4) 200211020
quinary (5) 13232243
senary (6) 2505452
septenary (7) 1064030
nonary (9) 223045
undecimal (11) 91297
duodecimal (12) 65288
tridecimal (13) 48983
tetradecimal (14) 368c0
pentadecimal (15) 29818

As an angle

133,448° = 370 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυμηʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋨
Chinese
一十三萬三千四百四十八
Chinese (financial)
壹拾參萬參仟肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٣٤٤٨ Devanagari १३३४४८ Bengali ১৩৩৪৪৮ Tamil ௧௩௩௪௪௮ Thai ๑๓๓๔๔๘ Tibetan ༡༣༣༤༤༨ Khmer ១៣៣៤៤៨ Lao ໑໓໓໔໔໘ Burmese ၁၃၃၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133448, here are decompositions:

  • 31 + 133417 = 133448
  • 61 + 133387 = 133448
  • 97 + 133351 = 133448
  • 127 + 133321 = 133448
  • 331 + 133117 = 133448
  • 379 + 133069 = 133448
  • 397 + 133051 = 133448
  • 409 + 133039 = 133448

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥈
CJK Unified Ideograph-20948
U+20948
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 88 (4 bytes).

Hex color
#020948
RGB(2, 9, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.72.

Address
0.2.9.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.72

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 133,448 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 133448 first appears in π at position 730,118 of the decimal expansion (the 730,118ordinal-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

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