138,684
138,684 is a composite number, even.
138,684 (one hundred thirty-eight thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 13 × 127. Its proper divisors sum to 262,724, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DBC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 4,608
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 486,831
- Recamán's sequence
- a(491,459) = 138,684
- Square (n²)
- 19,233,251,856
- Cube (n³)
- 2,667,344,300,397,504
- Divisor count
- 48
- σ(n) — sum of divisors
- 401,408
- φ(n) — Euler's totient
- 36,288
- Sum of prime factors
- 154
Primality
Prime factorization: 2 2 × 3 × 7 × 13 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,684 = [372; (2, 2, 12, 1, 9, 186, 9, 1, 12, 2, 2, 744)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand six hundred eighty-four
- Ordinal
- 138684th
- Binary
- 100001110110111100
- Octal
- 416674
- Hexadecimal
- 0x21DBC
- Base64
- Ah28
- One's complement
- 4,294,828,611 (32-bit)
- Scientific notation
- 1.38684 × 10⁵
- As a duration
- 138,684 s = 1 day, 14 hours, 31 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληχπδʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋮·𝋤
- Chinese
- 一十三萬八千六百八十四
- Chinese (financial)
- 壹拾參萬捌仟陸佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138684, here are decompositions:
- 5 + 138679 = 138684
- 23 + 138661 = 138684
- 37 + 138647 = 138684
- 43 + 138641 = 138684
- 47 + 138637 = 138684
- 67 + 138617 = 138684
- 97 + 138587 = 138684
- 103 + 138581 = 138684
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B6 BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.188.
- Address
- 0.2.29.188
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.188
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 138,684 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 138684 first appears in π at position 921,427 of the decimal expansion (the 921,427ordinal-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°.