133,984
133,984 is a composite number, even.
133,984 (one hundred thirty-three thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 53 × 79. Its proper divisors sum to 138,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 2,592
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 489,331
- Square (n²)
- 17,951,712,256
- Cube (n³)
- 2,405,242,214,907,904
- Divisor count
- 24
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 64,896
- Sum of prime factors
- 142
Primality
Prime factorization: 2 5 × 53 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,984 = [366; (26, 6, 1, 14, 12, 7, 2, 6, 1, 1, 48, 3, 1, 2, 1, 1, 104, 183, 104, 1, 1, 2, 1, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand nine hundred eighty-four
- Ordinal
- 133984th
- Binary
- 100000101101100000
- Octal
- 405540
- Hexadecimal
- 0x20B60
- Base64
- Agtg
- One's complement
- 4,294,833,311 (32-bit)
- Scientific notation
- 1.33984 × 10⁵
- As a duration
- 133,984 s = 1 day, 13 hours, 13 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγϡπδʹ
- Mayan (base 20)
- 𝋰·𝋮·𝋳·𝋤
- Chinese
- 一十三萬三千九百八十四
- Chinese (financial)
- 壹拾參萬參仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133984, here are decompositions:
- 3 + 133981 = 133984
- 5 + 133979 = 133984
- 17 + 133967 = 133984
- 107 + 133877 = 133984
- 131 + 133853 = 133984
- 173 + 133811 = 133984
- 251 + 133733 = 133984
- 293 + 133691 = 133984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 AD A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.96.
- Address
- 0.2.11.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.11.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 133,984 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 133984 first appears in π at position 418,923 of the decimal expansion (the 418,923ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.