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133,296

133,296 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.).

133,296 (one hundred thirty-three thousand two hundred ninety-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,777. Its proper divisors sum to 211,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
692,331
Recamán's sequence
a(35,252) = 133,296
Square (n²)
17,767,823,616
Cube (n³)
2,368,379,816,718,336
Divisor count
20
σ(n) — sum of divisors
344,472
φ(n) — Euler's totient
44,416
Sum of prime factors
2,788

Primality

Prime factorization: 2 4 × 3 × 2777

Nearest primes: 133,283 (−13) · 133,303 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2777 · 5554 · 8331 · 11108 · 16662 · 22216 · 33324 · 44432 · 66648 (half) · 133296
Aliquot sum (sum of proper divisors): 211,176
Factor pairs (a × b = 133,296)
1 × 133296
2 × 66648
3 × 44432
4 × 33324
6 × 22216
8 × 16662
12 × 11108
16 × 8331
24 × 5554
48 × 2777
First multiples
133,296 · 266,592 (double) · 399,888 · 533,184 · 666,480 · 799,776 · 933,072 · 1,066,368 · 1,199,664 · 1,332,960

Sums & aliquot sequence

As consecutive integers: 44,431 + 44,432 + 44,433 4,150 + 4,151 + … + 4,181 1,341 + 1,342 + … + 1,436
Aliquot sequence: 133,296 211,176 444,024 931,896 2,021,184 4,566,306 4,566,318 4,984,146 6,576,174 9,367,506 11,209,674 14,412,534 14,412,546 17,615,454 17,615,466 25,009,974 34,557,534 — unresolved within range

Continued fraction of √n

√133,296 = [365; (10, 3, 1, 1, 7, 8, 1, 1, 3, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 14, 1, 1, 7, 5, …)]

Representations

In words
one hundred thirty-three thousand two hundred ninety-six
Ordinal
133296th
Binary
100000100010110000
Octal
404260
Hexadecimal
0x208B0
Base64
Agiw
One's complement
4,294,833,999 (32-bit)
Scientific notation
1.33296 × 10⁵
As a duration
133,296 s = 1 day, 13 hours, 1 minute, 36 seconds
In other bases
ternary (3) 20202211220
quaternary (4) 200202300
quinary (5) 13231141
senary (6) 2505040
septenary (7) 1063422
nonary (9) 222756
undecimal (11) 91169
duodecimal (12) 65180
tridecimal (13) 48897
tetradecimal (14) 36812
pentadecimal (15) 29766

As an angle

133,296° = 370 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσϟϛʹ
Mayan (base 20)
𝋰·𝋭·𝋤·𝋰
Chinese
一十三萬三千二百九十六
Chinese (financial)
壹拾參萬參仟貳佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٣٢٩٦ Devanagari १३३२९६ Bengali ১৩৩২৯৬ Tamil ௧௩௩௨௯௬ Thai ๑๓๓๒๙๖ Tibetan ༡༣༣༢༩༦ Khmer ១៣៣២៩៦ Lao ໑໓໓໒໙໖ Burmese ၁၃၃၂၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133296, here are decompositions:

  • 13 + 133283 = 133296
  • 17 + 133279 = 133296
  • 19 + 133277 = 133296
  • 43 + 133253 = 133296
  • 83 + 133213 = 133296
  • 109 + 133187 = 133296
  • 113 + 133183 = 133296
  • 127 + 133169 = 133296

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢰
CJK Unified Ideograph-208B0
U+208B0
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B0 (4 bytes).

Hex color
#0208B0
RGB(2, 8, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.176.

Address
0.2.8.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.176

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 133,296 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°.