137,904
137,904 is a composite number, even.
137,904 (one hundred thirty-seven thousand nine hundred four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 13² × 17. Its proper divisors sum to 270,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AB0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 409,731
- Recamán's sequence
- a(493,019) = 137,904
- Square (n²)
- 19,017,513,216
- Cube (n³)
- 2,622,591,142,539,264
- Divisor count
- 60
- σ(n) — sum of divisors
- 408,456
- φ(n) — Euler's totient
- 39,936
- Sum of prime factors
- 54
Primality
Prime factorization: 2 4 × 3 × 13 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,904 = [371; (2, 1, 4, 1, 1, 1, 3, 4, 8, 3, 3, 3, 8, 4, 3, 1, 1, 1, 4, 1, 2, 742)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand nine hundred four
- Ordinal
- 137904th
- Binary
- 100001101010110000
- Octal
- 415260
- Hexadecimal
- 0x21AB0
- Base64
- Ahqw
- One's complement
- 4,294,829,391 (32-bit)
- Scientific notation
- 1.37904 × 10⁵
- As a duration
- 137,904 s = 1 day, 14 hours, 18 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζϡδʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋯·𝋤
- Chinese
- 一十三萬七千九百零四
- Chinese (financial)
- 壹拾參萬柒仟玖佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137904, here are decompositions:
- 31 + 137873 = 137904
- 37 + 137867 = 137904
- 73 + 137831 = 137904
- 101 + 137803 = 137904
- 113 + 137791 = 137904
- 127 + 137777 = 137904
- 167 + 137737 = 137904
- 181 + 137723 = 137904
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AA B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.176.
- Address
- 0.2.26.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.176
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 137,904 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°.