137,238
137,238 is a composite number, even.
137,238 (one hundred thirty-seven thousand two hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 89 × 257. Its proper divisors sum to 141,402, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21816.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,008
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 832,731
- Square (n²)
- 18,834,268,644
- Cube (n³)
- 2,584,777,360,165,272
- Divisor count
- 16
- σ(n) — sum of divisors
- 278,640
- φ(n) — Euler's totient
- 45,056
- Sum of prime factors
- 351
Primality
Prime factorization: 2 × 3 × 89 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,238 = [370; (2, 5, 4, 9, 1, 10, 6, 2, 2, 4, 1, 12, 5, 2, 4, 1, 1, 1, 1, 1, 2, 4, 370, 4, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand two hundred thirty-eight
- Ordinal
- 137238th
- Binary
- 100001100000010110
- Octal
- 414026
- Hexadecimal
- 0x21816
- Base64
- AhgW
- One's complement
- 4,294,830,057 (32-bit)
- Scientific notation
- 1.37238 × 10⁵
- As a duration
- 137,238 s = 1 day, 14 hours, 7 minutes, 18 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζσληʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋡·𝋲
- Chinese
- 一十三萬七千二百三十八
- Chinese (financial)
- 壹拾參萬柒仟貳佰參拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137238, here are decompositions:
- 19 + 137219 = 137238
- 29 + 137209 = 137238
- 37 + 137201 = 137238
- 41 + 137197 = 137238
- 47 + 137191 = 137238
- 61 + 137177 = 137238
- 107 + 137131 = 137238
- 149 + 137089 = 137238
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A0 96 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.22.
- Address
- 0.2.24.22
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.22
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 137,238 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 137238 first appears in π at position 268,945 of the decimal expansion (the 268,945ordinal-suffix:th 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.