137,384
137,384 is a composite number, even.
137,384 (one hundred thirty-seven thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,321. Its proper divisors sum to 140,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 2,016
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 483,731
- Recamán's sequence
- a(37,572) = 137,384
- Square (n²)
- 18,874,363,456
- Cube (n³)
- 2,593,035,549,039,104
- Divisor count
- 16
- σ(n) — sum of divisors
- 277,620
- φ(n) — Euler's totient
- 63,360
- Sum of prime factors
- 1,340
Primality
Prime factorization: 2 3 × 13 × 1321
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,384 = [370; (1, 1, 1, 7, 1, 3, 8, 6, 185, 6, 8, 3, 1, 7, 1, 1, 1, 740)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred eighty-four
- Ordinal
- 137384th
- Binary
- 100001100010101000
- Octal
- 414250
- Hexadecimal
- 0x218A8
- Base64
- Ahio
- One's complement
- 4,294,829,911 (32-bit)
- Scientific notation
- 1.37384 × 10⁵
- As a duration
- 137,384 s = 1 day, 14 hours, 9 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζτπδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋩·𝋤
- Chinese
- 一十三萬七千三百八十四
- Chinese (financial)
- 壹拾參萬柒仟參佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137384, here are decompositions:
- 31 + 137353 = 137384
- 43 + 137341 = 137384
- 193 + 137191 = 137384
- 241 + 137143 = 137384
- 307 + 137077 = 137384
- 397 + 136987 = 137384
- 421 + 136963 = 137384
- 433 + 136951 = 137384
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.168.
- Address
- 0.2.24.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.168
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 137,384 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 137384 first appears in π at position 55,351 of the decimal expansion (the 55,351ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.