106,824
106,824 is a composite number, even.
106,824 (one hundred six thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 4,451. Its proper divisors sum to 160,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A148.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 428,601
- Recamán's sequence
- a(24,296) = 106,824
- Square (n²)
- 11,411,366,976
- Cube (n³)
- 1,219,007,865,844,224
- Divisor count
- 16
- σ(n) — sum of divisors
- 267,120
- φ(n) — Euler's totient
- 35,600
- Sum of prime factors
- 4,460
Primality
Prime factorization: 2 3 × 3 × 4451
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,824 = [326; (1, 5, 4, 2, 2, 8, 1, 1, 4, 1, 27, 1, 1, 1, 1, 22, 1, 2, 1, 10, 6, 1, 3, 1, …)]
Representations
- In words
- one hundred six thousand eight hundred twenty-four
- Ordinal
- 106824th
- Binary
- 11010000101001000
- Octal
- 320510
- Hexadecimal
- 0x1A148
- Base64
- AaFI
- One's complement
- 4,294,860,471 (32-bit)
- Scientific notation
- 1.06824 × 10⁵
- As a duration
- 106,824 s = 1 day, 5 hours, 40 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛωκδʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋡·𝋤
- Chinese
- 十萬六千八百二十四
- Chinese (financial)
- 壹拾萬陸仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106824, here are decompositions:
- 23 + 106801 = 106824
- 37 + 106787 = 106824
- 41 + 106783 = 106824
- 43 + 106781 = 106824
- 71 + 106753 = 106824
- 73 + 106751 = 106824
- 97 + 106727 = 106824
- 103 + 106721 = 106824
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.72.
- Address
- 0.1.161.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.72
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 106,824 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 106824 first appears in π at position 300,945 of the decimal expansion (the 300,945ordinal-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°.