107,224
107,224 is a composite number, even.
107,224 (one hundred seven thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,031. Its proper divisors sum to 109,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2D8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 422,701
- Recamán's sequence
- a(82,503) = 107,224
- Square (n²)
- 11,496,986,176
- Cube (n³)
- 1,232,752,845,735,424
- Divisor count
- 16
- σ(n) — sum of divisors
- 216,720
- φ(n) — Euler's totient
- 49,440
- Sum of prime factors
- 1,050
Primality
Prime factorization: 2 3 × 13 × 1031
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,224 = [327; (2, 4, 1, 1, 2, 1, 2, 1, 6, 6, 6, 1, 2, 1, 2, 1, 1, 4, 2, 654)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand two hundred twenty-four
- Ordinal
- 107224th
- Binary
- 11010001011011000
- Octal
- 321330
- Hexadecimal
- 0x1A2D8
- Base64
- AaLY
- One's complement
- 4,294,860,071 (32-bit)
- Scientific notation
- 1.07224 × 10⁵
- As a duration
- 107,224 s = 1 day, 5 hours, 47 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζσκδʹ
- Mayan (base 20)
- 𝋭·𝋨·𝋡·𝋤
- Chinese
- 十萬七千二百二十四
- Chinese (financial)
- 壹拾萬柒仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107224, here are decompositions:
- 23 + 107201 = 107224
- 41 + 107183 = 107224
- 53 + 107171 = 107224
- 101 + 107123 = 107224
- 167 + 107057 = 107224
- 191 + 107033 = 107224
- 263 + 106961 = 107224
- 317 + 106907 = 107224
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.216.
- Address
- 0.1.162.216
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.216
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 107,224 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 107224 first appears in π at position 110,609 of the decimal expansion (the 110,609ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.