133,398
133,398 is a composite number, even.
133,398 (one hundred thirty-three thousand three hundred ninety-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 7,411. Its proper divisors sum to 155,670, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20916.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 1,944
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 893,331
- Recamán's sequence
- a(35,456) = 133,398
- Square (n²)
- 17,795,026,404
- Cube (n³)
- 2,373,820,932,240,792
- Divisor count
- 12
- σ(n) — sum of divisors
- 289,068
- φ(n) — Euler's totient
- 44,460
- Sum of prime factors
- 7,419
Primality
Prime factorization: 2 × 3 2 × 7411
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,398 = [365; (4, 4, 1, 1, 9, 1, 2, 1, 3, 1, 1, 1, 2, 2, 1, 1, 1, 7, 7, 9, 1, 6, 2, 10, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand three hundred ninety-eight
- Ordinal
- 133398th
- Binary
- 100000100100010110
- Octal
- 404426
- Hexadecimal
- 0x20916
- Base64
- AgkW
- One's complement
- 4,294,833,897 (32-bit)
- Scientific notation
- 1.33398 × 10⁵
- As a duration
- 133,398 s = 1 day, 13 hours, 3 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγτϟηʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋩·𝋲
- Chinese
- 一十三萬三千三百九十八
- Chinese (financial)
- 壹拾參萬參仟參佰玖拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133398, here are decompositions:
- 7 + 133391 = 133398
- 11 + 133387 = 133398
- 19 + 133379 = 133398
- 47 + 133351 = 133398
- 61 + 133337 = 133398
- 71 + 133327 = 133398
- 79 + 133319 = 133398
- 127 + 133271 = 133398
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A4 96 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.22.
- Address
- 0.2.9.22
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.9.22
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 133,398 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 133398 first appears in π at position 191,544 of the decimal expansion (the 191,544ordinal-suffix:th 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°.