163,842
163,842 is a composite number, even.
163,842 (one hundred sixty-three thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 47 × 83. Its proper divisors sum to 223,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28002.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,152
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 248,361
- Square (n²)
- 26,844,200,964
- Cube (n³)
- 4,398,207,574,343,688
- Divisor count
- 32
- σ(n) — sum of divisors
- 387,072
- φ(n) — Euler's totient
- 45,264
- Sum of prime factors
- 142
Primality
Prime factorization: 2 × 3 × 7 × 47 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√163,842 = [404; (1, 3, 2, 2, 1, 4, 1, 114, 1, 4, 1, 2, 2, 3, 1, 808)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-three thousand eight hundred forty-two
- Ordinal
- 163842nd
- Binary
- 101000000000000010
- Octal
- 500002
- Hexadecimal
- 0x28002
- Base64
- AoAC
- One's complement
- 4,294,803,453 (32-bit)
- Scientific notation
- 1.63842 × 10⁵
- As a duration
- 163,842 s = 1 day, 21 hours, 30 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρξγωμβʹ
- Chinese
- 一十六萬三千八百四十二
- Chinese (financial)
- 壹拾陸萬參仟捌佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 163842, here are decompositions:
- 23 + 163819 = 163842
- 31 + 163811 = 163842
- 53 + 163789 = 163842
- 61 + 163781 = 163842
- 71 + 163771 = 163842
- 89 + 163753 = 163842
- 101 + 163741 = 163842
- 109 + 163733 = 163842
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 80 82 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.2.
- Address
- 0.2.128.2
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.128.2
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 163,842 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 163842 first appears in π at position 560,189 of the decimal expansion (the 560,189ordinal-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°.