137,808
137,808 is a composite number, even.
137,808 (one hundred thirty-seven thousand eight hundred eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 11 × 29. Its proper divisors sum to 308,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 808,731
- Recamán's sequence
- a(493,211) = 137,808
- Square (n²)
- 18,991,044,864
- Cube (n³)
- 2,617,117,910,618,112
- Divisor count
- 80
- σ(n) — sum of divisors
- 446,400
- φ(n) — Euler's totient
- 40,320
- Sum of prime factors
- 57
Primality
Prime factorization: 2 4 × 3 3 × 11 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,808 = [371; (4, 2, 4, 742)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eight hundred eight
- Ordinal
- 137808th
- Binary
- 100001101001010000
- Octal
- 415120
- Hexadecimal
- 0x21A50
- Base64
- AhpQ
- One's complement
- 4,294,829,487 (32-bit)
- Scientific notation
- 1.37808 × 10⁵
- As a duration
- 137,808 s = 1 day, 14 hours, 16 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζωηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋪·𝋨
- Chinese
- 一十三萬七千八百零八
- Chinese (financial)
- 壹拾參萬柒仟捌佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137808, here are decompositions:
- 5 + 137803 = 137808
- 17 + 137791 = 137808
- 31 + 137777 = 137808
- 37 + 137771 = 137808
- 71 + 137737 = 137808
- 101 + 137707 = 137808
- 109 + 137699 = 137808
- 149 + 137659 = 137808
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.80.
- Address
- 0.2.26.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.80
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 137,808 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°.