137,344
137,344 is a composite number, even.
137,344 (one hundred thirty-seven thousand three hundred forty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 29 × 37. Its proper divisors sum to 153,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21880.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 1,008
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 443,731
- Recamán's sequence
- a(37,492) = 137,344
- Square (n²)
- 18,863,374,336
- Cube (n³)
- 2,590,771,284,803,584
- Divisor count
- 32
- σ(n) — sum of divisors
- 290,700
- φ(n) — Euler's totient
- 64,512
- Sum of prime factors
- 80
Primality
Prime factorization: 2 7 × 29 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,344 = [370; (1, 1, 2, 81, 1, 21, 2, 8, 1, 1, 1, 21, 1, 4, 6, 2, 2, 2, 11, 6, 26, 3, 3, 1, …)]
Representations
- In words
- one hundred thirty-seven thousand three hundred forty-four
- Ordinal
- 137344th
- Binary
- 100001100010000000
- Octal
- 414200
- Hexadecimal
- 0x21880
- Base64
- AhiA
- One's complement
- 4,294,829,951 (32-bit)
- Scientific notation
- 1.37344 × 10⁵
- As a duration
- 137,344 s = 1 day, 14 hours, 9 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζτμδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋧·𝋤
- Chinese
- 一十三萬七千三百四十四
- Chinese (financial)
- 壹拾參萬柒仟參佰肆拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137344, here are decompositions:
- 3 + 137341 = 137344
- 5 + 137339 = 137344
- 23 + 137321 = 137344
- 41 + 137303 = 137344
- 71 + 137273 = 137344
- 167 + 137177 = 137344
- 191 + 137153 = 137344
- 197 + 137147 = 137344
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.128.
- Address
- 0.2.24.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.128
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 137,344 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 137344 first appears in π at position 285,273 of the decimal expansion (the 285,273ordinal-suffix:rd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.