138,504
138,504 is a composite number, even.
138,504 (one hundred thirty-eight thousand five hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 29 × 199. Its proper divisors sum to 221,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D08.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 405,831
- Recamán's sequence
- a(491,819) = 138,504
- Square (n²)
- 19,183,358,016
- Cube (n³)
- 2,656,971,818,648,064
- Divisor count
- 32
- σ(n) — sum of divisors
- 360,000
- φ(n) — Euler's totient
- 44,352
- Sum of prime factors
- 237
Primality
Prime factorization: 2 3 × 3 × 29 × 199
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,504 = [372; (6, 4, 1, 28, 1, 28, 1, 4, 6, 744)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand five hundred four
- Ordinal
- 138504th
- Binary
- 100001110100001000
- Octal
- 416410
- Hexadecimal
- 0x21D08
- Base64
- Ah0I
- One's complement
- 4,294,828,791 (32-bit)
- Scientific notation
- 1.38504 × 10⁵
- As a duration
- 138,504 s = 1 day, 14 hours, 28 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρληφδʹ
- Mayan (base 20)
- 𝋱·𝋦·𝋥·𝋤
- Chinese
- 一十三萬八千五百零四
- Chinese (financial)
- 壹拾參萬捌仟伍佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138504, here are decompositions:
- 7 + 138497 = 138504
- 11 + 138493 = 138504
- 43 + 138461 = 138504
- 53 + 138451 = 138504
- 71 + 138433 = 138504
- 97 + 138407 = 138504
- 101 + 138403 = 138504
- 103 + 138401 = 138504
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 B4 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.8.
- Address
- 0.2.29.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.29.8
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 138,504 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.