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133,446

133,446 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.).

133,446 (one hundred thirty-three thousand four hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 23 × 967. Its proper divisors sum to 145,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20946.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
864
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
644,331
Recamán's sequence
a(35,552) = 133,446
Square (n²)
17,807,834,916
Cube (n³)
2,376,384,338,200,536
Divisor count
16
σ(n) — sum of divisors
278,784
φ(n) — Euler's totient
42,504
Sum of prime factors
995

Primality

Prime factorization: 2 × 3 × 23 × 967

Nearest primes: 133,439 (−7) · 133,447 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 23 · 46 · 69 · 138 · 967 · 1934 · 2901 · 5802 · 22241 · 44482 · 66723 (half) · 133446
Aliquot sum (sum of proper divisors): 145,338
Factor pairs (a × b = 133,446)
1 × 133446
2 × 66723
3 × 44482
6 × 22241
23 × 5802
46 × 2901
69 × 1934
138 × 967
First multiples
133,446 · 266,892 (double) · 400,338 · 533,784 · 667,230 · 800,676 · 934,122 · 1,067,568 · 1,201,014 · 1,334,460

Sums & aliquot sequence

As consecutive integers: 44,481 + 44,482 + 44,483 33,360 + 33,361 + 33,362 + 33,363 11,115 + 11,116 + … + 11,126 5,791 + 5,792 + … + 5,813
Aliquot sequence: 133,446 145,338 145,350 289,890 464,058 734,022 990,954 1,236,726 1,468,938 1,532,022 1,692,810 3,339,126 4,929,498 8,531,622 12,619,098 15,423,462 18,810,738 — unresolved within range

Continued fraction of √n

√133,446 = [365; (3, 3, 3, 1, 1, 9, 2, 3, 1, 5, 1, 1, 2, 1, 3, 3, 1, 1, 1, 3, 4, 1, 5, 29, …)]

Representations

In words
one hundred thirty-three thousand four hundred forty-six
Ordinal
133446th
Binary
100000100101000110
Octal
404506
Hexadecimal
0x20946
Base64
AglG
One's complement
4,294,833,849 (32-bit)
Scientific notation
1.33446 × 10⁵
As a duration
133,446 s = 1 day, 13 hours, 4 minutes, 6 seconds
In other bases
ternary (3) 20210001110
quaternary (4) 200211012
quinary (5) 13232241
senary (6) 2505450
septenary (7) 1064025
nonary (9) 223043
undecimal (11) 91295
duodecimal (12) 65286
tridecimal (13) 48981
tetradecimal (14) 368bc
pentadecimal (15) 29816

As an angle

133,446° = 370 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυμϛʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋦
Chinese
一十三萬三千四百四十六
Chinese (financial)
壹拾參萬參仟肆佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٣٤٤٦ Devanagari १३३४४६ Bengali ১৩৩৪৪৬ Tamil ௧௩௩௪௪௬ Thai ๑๓๓๔๔๖ Tibetan ༡༣༣༤༤༦ Khmer ១៣៣៤៤៦ Lao ໑໓໓໔໔໖ Burmese ၁၃၃၄၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133446, here are decompositions:

  • 7 + 133439 = 133446
  • 29 + 133417 = 133446
  • 43 + 133403 = 133446
  • 59 + 133387 = 133446
  • 67 + 133379 = 133446
  • 97 + 133349 = 133446
  • 109 + 133337 = 133446
  • 127 + 133319 = 133446

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥆
CJK Unified Ideograph-20946
U+20946
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 86 (4 bytes).

Hex color
#020946
RGB(2, 9, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.70.

Address
0.2.9.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.70

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 133,446 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

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