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133,044

133,044 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.).

133,044 (one hundred thirty-three thousand forty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,087. Its proper divisors sum to 177,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207B4.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
440,331
Square (n²)
17,700,705,936
Cube (n³)
2,354,972,720,549,184
Divisor count
12
σ(n) — sum of divisors
310,464
φ(n) — Euler's totient
44,344
Sum of prime factors
11,094

Primality

Prime factorization: 2 2 × 3 × 11087

Nearest primes: 133,039 (−5) · 133,051 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11087 · 22174 · 33261 · 44348 · 66522 (half) · 133044
Aliquot sum (sum of proper divisors): 177,420
Factor pairs (a × b = 133,044)
1 × 133044
2 × 66522
3 × 44348
4 × 33261
6 × 22174
12 × 11087
First multiples
133,044 · 266,088 (double) · 399,132 · 532,176 · 665,220 · 798,264 · 931,308 · 1,064,352 · 1,197,396 · 1,330,440

Sums & aliquot sequence

As consecutive integers: 44,347 + 44,348 + 44,349 16,627 + 16,628 + … + 16,634 5,532 + 5,533 + … + 5,555
Aliquot sequence: 133,044 177,420 319,524 426,060 915,588 1,481,352 2,222,088 4,171,512 6,404,568 9,881,832 14,822,808 35,012,712 65,024,088 98,139,672 167,655,468 244,130,452 183,097,846 — unresolved within range

Continued fraction of √n

√133,044 = [364; (1, 3, 31, 2, 7, 5, 2, 1, 5, 2, 3, 1, 9, 1, 19, 1, 14, 1, 1, 3, 8, 1, 5, 25, …)]

Representations

In words
one hundred thirty-three thousand forty-four
Ordinal
133044th
Binary
100000011110110100
Octal
403664
Hexadecimal
0x207B4
Base64
Age0
One's complement
4,294,834,251 (32-bit)
Scientific notation
1.33044 × 10⁵
As a duration
133,044 s = 1 day, 12 hours, 57 minutes, 24 seconds
In other bases
ternary (3) 20202111120
quaternary (4) 200132310
quinary (5) 13224134
senary (6) 2503540
septenary (7) 1062612
nonary (9) 222446
undecimal (11) 90a5a
duodecimal (12) 64bb0
tridecimal (13) 48732
tetradecimal (14) 366b2
pentadecimal (15) 29649

As an angle

133,044° = 369 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγμδʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋤
Chinese
一十三萬三千零四十四
Chinese (financial)
壹拾參萬參仟零肆拾肆
In other modern scripts
Eastern Arabic ١٣٣٠٤٤ Devanagari १३३०४४ Bengali ১৩৩০৪৪ Tamil ௧௩௩௦௪௪ Thai ๑๓๓๐๔๔ Tibetan ༡༣༣༠༤༤ Khmer ១៣៣០៤៤ Lao ໑໓໓໐໔໔ Burmese ၁၃၃၀၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133044, here are decompositions:

  • 5 + 133039 = 133044
  • 11 + 133033 = 133044
  • 31 + 133013 = 133044
  • 73 + 132971 = 133044
  • 83 + 132961 = 133044
  • 97 + 132947 = 133044
  • 151 + 132893 = 133044
  • 157 + 132887 = 133044

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞴
CJK Unified Ideograph-207B4
U+207B4
Other letter (Lo)

UTF-8 encoding: F0 A0 9E B4 (4 bytes).

Hex color
#0207B4
RGB(2, 7, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.180.

Address
0.2.7.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.180

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 133,044 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 133044 first appears in π at position 554,768 of the decimal expansion (the 554,768ordinal-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°.