138,008
138,008 is a composite number, even.
138,008 (one hundred thirty-eight thousand eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,327. Its proper divisors sum to 140,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B18.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 800,831
- Recamán's sequence
- a(492,811) = 138,008
- Square (n²)
- 19,046,208,064
- Cube (n³)
- 2,628,529,082,496,512
- Divisor count
- 16
- σ(n) — sum of divisors
- 278,880
- φ(n) — Euler's totient
- 63,648
- Sum of prime factors
- 1,346
Primality
Prime factorization: 2 3 × 13 × 1327
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,008 = [371; (2, 43, 4, 1, 6, 2, 2, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 31, 1, 2, 1, 1, 6, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand eight
- Ordinal
- 138008th
- Binary
- 100001101100011000
- Octal
- 415430
- Hexadecimal
- 0x21B18
- Base64
- AhsY
- One's complement
- 4,294,829,287 (32-bit)
- Scientific notation
- 1.38008 × 10⁵
- As a duration
- 138,008 s = 1 day, 14 hours, 20 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληηʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋠·𝋨
- Chinese
- 一十三萬八千零八
- Chinese (financial)
- 壹拾參萬捌仟零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138008, here are decompositions:
- 61 + 137947 = 138008
- 67 + 137941 = 138008
- 97 + 137911 = 138008
- 139 + 137869 = 138008
- 181 + 137827 = 138008
- 271 + 137737 = 138008
- 349 + 137659 = 138008
- 421 + 137587 = 138008
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.24.
- Address
- 0.2.27.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.24
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 138,008 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 138008 first appears in π at position 109,132 of the decimal expansion (the 109,132ordinal-suffix:nd 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.