138,204
138,204 is a composite number, even.
138,204 (one hundred thirty-eight thousand two hundred four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 349. Its proper divisors sum to 243,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BDC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 402,831
- Recamán's sequence
- a(492,419) = 138,204
- Square (n²)
- 19,100,345,616
- Cube (n³)
- 2,639,744,165,513,664
- Divisor count
- 36
- σ(n) — sum of divisors
- 382,200
- φ(n) — Euler's totient
- 41,760
- Sum of prime factors
- 370
Primality
Prime factorization: 2 2 × 3 2 × 11 × 349
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,204 = [371; (1, 3, 7, 1, 1, 2, 1, 3, 2, 1, 1, 3, 1, 4, 4, 7, 5, 16, 3, 20, 3, 16, 5, 7, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred four
- Ordinal
- 138204th
- Binary
- 100001101111011100
- Octal
- 415734
- Hexadecimal
- 0x21BDC
- Base64
- Ahvc
- One's complement
- 4,294,829,091 (32-bit)
- Scientific notation
- 1.38204 × 10⁵
- As a duration
- 138,204 s = 1 day, 14 hours, 23 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλησδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋪·𝋤
- Chinese
- 一十三萬八千二百零四
- Chinese (financial)
- 壹拾參萬捌仟貳佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138204, here are decompositions:
- 7 + 138197 = 138204
- 13 + 138191 = 138204
- 23 + 138181 = 138204
- 41 + 138163 = 138204
- 47 + 138157 = 138204
- 61 + 138143 = 138204
- 97 + 138107 = 138204
- 103 + 138101 = 138204
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AF 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.220.
- Address
- 0.2.27.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.220
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 138,204 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 138204 first appears in π at position 203,621 of the decimal expansion (the 203,621ordinal-suffix:st 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°.