137,388
137,388 is a composite number, even.
137,388 (one hundred thirty-seven thousand three hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3 × 107². Its proper divisors sum to 186,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218AC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 4,032
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 883,731
- Recamán's sequence
- a(37,580) = 137,388
- Square (n²)
- 18,875,462,544
- Cube (n³)
- 2,593,262,047,995,072
- Divisor count
- 18
- σ(n) — sum of divisors
- 323,596
- φ(n) — Euler's totient
- 45,368
- Sum of prime factors
- 221
Primality
Prime factorization: 2 2 × 3 × 107 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,388 = [370; (1, 1, 1, 13, 1, 1, 2, 3, 2, 3, 1, 19, 3, 1, 4, 1, 9, 1, 1, 1, 1, 2, 12, 5, …)]
Representations
- In words
- one hundred thirty-seven thousand three hundred eighty-eight
- Ordinal
- 137388th
- Binary
- 100001100010101100
- Octal
- 414254
- Hexadecimal
- 0x218AC
- Base64
- Ahis
- One's complement
- 4,294,829,907 (32-bit)
- Scientific notation
- 1.37388 × 10⁵
- As a duration
- 137,388 s = 1 day, 14 hours, 9 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζτπηʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋩·𝋨
- Chinese
- 一十三萬七千三百八十八
- Chinese (financial)
- 壹拾參萬柒仟參佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137388, here are decompositions:
- 5 + 137383 = 137388
- 19 + 137369 = 137388
- 29 + 137359 = 137388
- 47 + 137341 = 137388
- 67 + 137321 = 137388
- 109 + 137279 = 137388
- 137 + 137251 = 137388
- 149 + 137239 = 137388
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 AC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.172.
- Address
- 0.2.24.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.172
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 137,388 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 137388 first appears in π at position 353,481 of the decimal expansion (the 353,481ordinal-suffix:st 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°.