133,008
133,008 is a composite number, even.
133,008 (one hundred thirty-three thousand eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 17 × 163. Its proper divisors sum to 233,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20790.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 800,331
- Square (n²)
- 17,691,128,064
- Cube (n³)
- 2,353,061,561,536,512
- Divisor count
- 40
- σ(n) — sum of divisors
- 366,048
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 191
Primality
Prime factorization: 2 4 × 3 × 17 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,008 = [364; (1, 2, 2, 1, 3, 8, 2, 2, 2, 1, 1, 1, 5, 14, 1, 2, 2, 2, 1, 14, 5, 1, 1, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand eight
- Ordinal
- 133008th
- Binary
- 100000011110010000
- Octal
- 403620
- Hexadecimal
- 0x20790
- Base64
- AgeQ
- One's complement
- 4,294,834,287 (32-bit)
- Scientific notation
- 1.33008 × 10⁵
- As a duration
- 133,008 s = 1 day, 12 hours, 56 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγηʹ
- Mayan (base 20)
- 𝋰·𝋬·𝋪·𝋨
- Chinese
- 一十三萬三千零八
- Chinese (financial)
- 壹拾參萬參仟零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133008, here are decompositions:
- 19 + 132989 = 133008
- 37 + 132971 = 133008
- 41 + 132967 = 133008
- 47 + 132961 = 133008
- 59 + 132949 = 133008
- 61 + 132947 = 133008
- 79 + 132929 = 133008
- 97 + 132911 = 133008
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 9E 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.144.
- Address
- 0.2.7.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.7.144
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 133,008 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 133008 first appears in π at position 283,873 of the decimal expansion (the 283,873ordinal-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°.