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133,422

133,422 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.).

133,422 (one hundred thirty-three thousand four hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 37 × 601. Its proper divisors sum to 141,090, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2092E.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
224,331
Recamán's sequence
a(35,504) = 133,422
Square (n²)
17,801,430,084
Cube (n³)
2,375,102,404,667,448
Divisor count
16
σ(n) — sum of divisors
274,512
φ(n) — Euler's totient
43,200
Sum of prime factors
643

Primality

Prime factorization: 2 × 3 × 37 × 601

Nearest primes: 133,417 (−5) · 133,439 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 37 · 74 · 111 · 222 · 601 · 1202 · 1803 · 3606 · 22237 · 44474 · 66711 (half) · 133422
Aliquot sum (sum of proper divisors): 141,090
Factor pairs (a × b = 133,422)
1 × 133422
2 × 66711
3 × 44474
6 × 22237
37 × 3606
74 × 1803
111 × 1202
222 × 601
First multiples
133,422 · 266,844 (double) · 400,266 · 533,688 · 667,110 · 800,532 · 933,954 · 1,067,376 · 1,200,798 · 1,334,220

Sums & aliquot sequence

As consecutive integers: 44,473 + 44,474 + 44,475 33,354 + 33,355 + 33,356 + 33,357 11,113 + 11,114 + … + 11,124 3,588 + 3,589 + … + 3,624
Aliquot sequence: 133,422 141,090 197,598 197,610 344,982 407,850 603,990 1,007,370 2,379,510 4,878,090 10,673,910 19,989,450 43,756,470 79,804,170 133,007,670 236,241,738 295,075,062 — unresolved within range

Continued fraction of √n

√133,422 = [365; (3, 1, 2, 2, 2, 2, 1, 4, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 4, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred twenty-two
Ordinal
133422nd
Binary
100000100100101110
Octal
404456
Hexadecimal
0x2092E
Base64
Agku
One's complement
4,294,833,873 (32-bit)
Scientific notation
1.33422 × 10⁵
As a duration
133,422 s = 1 day, 13 hours, 3 minutes, 42 seconds
In other bases
ternary (3) 20210000120
quaternary (4) 200210232
quinary (5) 13232142
senary (6) 2505410
septenary (7) 1063662
nonary (9) 223016
undecimal (11) 91273
duodecimal (12) 65266
tridecimal (13) 48963
tetradecimal (14) 368a2
pentadecimal (15) 297ec

As an angle

133,422° = 370 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγυκβʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋢
Chinese
一十三萬三千四百二十二
Chinese (financial)
壹拾參萬參仟肆佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٣٤٢٢ Devanagari १३३४२२ Bengali ১৩৩৪২২ Tamil ௧௩௩௪௨௨ Thai ๑๓๓๔๒๒ Tibetan ༡༣༣༤༢༢ Khmer ១៣៣៤២២ Lao ໑໓໓໔໒໒ Burmese ၁၃၃၄၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133422, here are decompositions:

  • 5 + 133417 = 133422
  • 19 + 133403 = 133422
  • 31 + 133391 = 133422
  • 43 + 133379 = 133422
  • 71 + 133351 = 133422
  • 73 + 133349 = 133422
  • 101 + 133321 = 133422
  • 103 + 133319 = 133422

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤮
CJK Unified Ideograph-2092E
U+2092E
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 AE (4 bytes).

Hex color
#02092E
RGB(2, 9, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.46.

Address
0.2.9.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.46

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 133,422 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 133422 first appears in π at position 524,183 of the decimal expansion (the 524,183ordinal-suffix:rd 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°.