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133,944

133,944 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.).

133,944 (one hundred thirty-three thousand nine hundred forty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,581. Its proper divisors sum to 200,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B38.

Abundant Number Harshad / Niven Moran Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
449,331
Square (n²)
17,940,995,136
Cube (n³)
2,403,088,652,496,384
Divisor count
16
σ(n) — sum of divisors
334,920
φ(n) — Euler's totient
44,640
Sum of prime factors
5,590

Primality

Prime factorization: 2 3 × 3 × 5581

Nearest primes: 133,919 (−25) · 133,949 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5581 · 11162 · 16743 · 22324 · 33486 · 44648 · 66972 (half) · 133944
Aliquot sum (sum of proper divisors): 200,976
Factor pairs (a × b = 133,944)
1 × 133944
2 × 66972
3 × 44648
4 × 33486
6 × 22324
8 × 16743
12 × 11162
24 × 5581
First multiples
133,944 · 267,888 (double) · 401,832 · 535,776 · 669,720 · 803,664 · 937,608 · 1,071,552 · 1,205,496 · 1,339,440

Sums & aliquot sequence

As consecutive integers: 44,647 + 44,648 + 44,649 8,364 + 8,365 + … + 8,379 2,767 + 2,768 + … + 2,814
Aliquot sequence: 133,944 200,976 334,704 577,936 570,428 427,828 320,878 166,490 133,210 167,462 102,490 87,662 46,474 26,966 14,194 7,694 3,850 — unresolved within range

Continued fraction of √n

√133,944 = [365; (1, 59, 1, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred forty-four
Ordinal
133944th
Binary
100000101100111000
Octal
405470
Hexadecimal
0x20B38
Base64
Ags4
One's complement
4,294,833,351 (32-bit)
Scientific notation
1.33944 × 10⁵
As a duration
133,944 s = 1 day, 13 hours, 12 minutes, 24 seconds
In other bases
ternary (3) 20210201220
quaternary (4) 200230320
quinary (5) 13241234
senary (6) 2512040
septenary (7) 1065336
nonary (9) 223656
undecimal (11) 916a8
duodecimal (12) 65620
tridecimal (13) 48c75
tetradecimal (14) 36b56
pentadecimal (15) 29a49

As an angle

133,944° = 372 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡμδʹ
Mayan (base 20)
𝋰·𝋮·𝋱·𝋤
Chinese
一十三萬三千九百四十四
Chinese (financial)
壹拾參萬參仟玖佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٣٩٤٤ Devanagari १३३९४४ Bengali ১৩৩৯৪৪ Tamil ௧௩௩௯௪௪ Thai ๑๓๓๙๔๔ Tibetan ༡༣༣༩༤༤ Khmer ១៣៣៩៤៤ Lao ໑໓໓໙໔໔ Burmese ၁၃၃၉၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133944, here are decompositions:

  • 67 + 133877 = 133944
  • 71 + 133873 = 133944
  • 101 + 133843 = 133944
  • 113 + 133831 = 133944
  • 131 + 133813 = 133944
  • 163 + 133781 = 133944
  • 211 + 133733 = 133944
  • 227 + 133717 = 133944

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬸
CJK Unified Ideograph-20B38
U+20B38
Other letter (Lo)

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

Hex color
#020B38
RGB(2, 11, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.56.

Address
0.2.11.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.56

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 133,944 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 133944 first appears in π at position 551,088 of the decimal expansion (the 551,088ordinal-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

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