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133,496

133,496 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.).

133,496 (one hundred thirty-three thousand four hundred ninety-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 37 × 41. Its proper divisors sum to 153,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20978.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,944
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
694,331
Square (n²)
17,821,182,016
Cube (n³)
2,379,056,514,407,936
Divisor count
32
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
57,600
Sum of prime factors
95

Primality

Prime factorization: 2 3 × 11 × 37 × 41

Nearest primes: 133,493 (−3) · 133,499 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 22 · 37 · 41 · 44 · 74 · 82 · 88 · 148 · 164 · 296 · 328 · 407 · 451 · 814 · 902 · 1517 · 1628 · 1804 · 3034 · 3256 · 3608 · 6068 · 12136 · 16687 · 33374 · 66748 (half) · 133496
Aliquot sum (sum of proper divisors): 153,784
Factor pairs (a × b = 133,496)
1 × 133496
2 × 66748
4 × 33374
8 × 16687
11 × 12136
22 × 6068
37 × 3608
41 × 3256
44 × 3034
74 × 1804
82 × 1628
88 × 1517
148 × 902
164 × 814
296 × 451
328 × 407
First multiples
133,496 · 266,992 (double) · 400,488 · 533,984 · 667,480 · 800,976 · 934,472 · 1,067,968 · 1,201,464 · 1,334,960

Sums & aliquot sequence

As consecutive integers: 12,131 + 12,132 + … + 12,141 8,336 + 8,337 + … + 8,351 3,590 + 3,591 + … + 3,626 3,236 + 3,237 + … + 3,276
Aliquot sequence: 133,496 153,784 141,416 148,024 129,536 165,088 246,176 321,202 229,454 122,194 63,134 31,570 41,006 32,434 16,220 17,884 15,380 — unresolved within range

Continued fraction of √n

√133,496 = [365; (2, 1, 2, 3, 1, 1, 2, 1, 5, 29, 18, 4, 3, 1, 2, 1, 1, 1, 2, 1, 3, 4, 18, 29, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred ninety-six
Ordinal
133496th
Binary
100000100101111000
Octal
404570
Hexadecimal
0x20978
Base64
Agl4
One's complement
4,294,833,799 (32-bit)
Scientific notation
1.33496 × 10⁵
As a duration
133,496 s = 1 day, 13 hours, 4 minutes, 56 seconds
In other bases
ternary (3) 20210010022
quaternary (4) 200211320
quinary (5) 13232441
senary (6) 2510012
septenary (7) 1064126
nonary (9) 223108
undecimal (11) 91330
duodecimal (12) 65308
tridecimal (13) 489bc
tetradecimal (14) 36916
pentadecimal (15) 2984b

As an angle

133,496° = 370 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυϟϛʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋰
Chinese
一十三萬三千四百九十六
Chinese (financial)
壹拾參萬參仟肆佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٣٤٩٦ Devanagari १३३४९६ Bengali ১৩৩৪৯৬ Tamil ௧௩௩௪௯௬ Thai ๑๓๓๔๙๖ Tibetan ༡༣༣༤༩༦ Khmer ១៣៣៤៩៦ Lao ໑໓໓໔໙໖ Burmese ၁၃၃၄၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133496, here are decompositions:

  • 3 + 133493 = 133496
  • 79 + 133417 = 133496
  • 109 + 133387 = 133496
  • 193 + 133303 = 133496
  • 283 + 133213 = 133496
  • 313 + 133183 = 133496
  • 379 + 133117 = 133496
  • 409 + 133087 = 133496

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥸
CJK Unified Ideograph-20978
U+20978
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 B8 (4 bytes).

Hex color
#020978
RGB(2, 9, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.120.

Address
0.2.9.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.120

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 133,496 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

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