137,888
137,888 is a composite number, even.
137,888 (one hundred thirty-seven thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 31 × 139. Its proper divisors sum to 144,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 35
- Digit product
- 10,752
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 888,731
- Recamán's sequence
- a(493,051) = 137,888
- Square (n²)
- 19,013,100,544
- Cube (n³)
- 2,621,678,407,811,072
- Divisor count
- 24
- σ(n) — sum of divisors
- 282,240
- φ(n) — Euler's totient
- 66,240
- Sum of prime factors
- 180
Primality
Prime factorization: 2 5 × 31 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,888 = [371; (3, 185, 3, 742)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eight hundred eighty-eight
- Ordinal
- 137888th
- Binary
- 100001101010100000
- Octal
- 415240
- Hexadecimal
- 0x21AA0
- Base64
- Ahqg
- One's complement
- 4,294,829,407 (32-bit)
- Scientific notation
- 1.37888 × 10⁵
- As a duration
- 137,888 s = 1 day, 14 hours, 18 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζωπηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋮·𝋨
- Chinese
- 一十三萬七千八百八十八
- Chinese (financial)
- 壹拾參萬柒仟捌佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137888, here are decompositions:
- 19 + 137869 = 137888
- 61 + 137827 = 137888
- 97 + 137791 = 137888
- 151 + 137737 = 137888
- 181 + 137707 = 137888
- 229 + 137659 = 137888
- 397 + 137491 = 137888
- 547 + 137341 = 137888
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AA A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.160.
- Address
- 0.2.26.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.160
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 137,888 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 137888 first appears in π at position 401,282 of the decimal expansion (the 401,282ordinal-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.