159,984
159,984 is a composite number, even.
159,984 (one hundred fifty-nine thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 11 × 101. Its proper divisors sum to 333,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x270F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 12,960
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 489,951
- Square (n²)
- 25,594,880,256
- Cube (n³)
- 4,094,771,322,875,904
- Divisor count
- 60
- σ(n) — sum of divisors
- 493,272
- φ(n) — Euler's totient
- 48,000
- Sum of prime factors
- 126
Primality
Prime factorization: 2 4 × 3 2 × 11 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√159,984 = [399; (1, 48, 1, 798)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred fifty-nine thousand nine hundred eighty-four
- Ordinal
- 159984th
- Binary
- 100111000011110000
- Octal
- 470360
- Hexadecimal
- 0x270F0
- Base64
- AnDw
- One's complement
- 4,294,807,311 (32-bit)
- Scientific notation
- 1.59984 × 10⁵
- As a duration
- 159,984 s = 1 day, 20 hours, 26 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρνθϡπδʹ
- Mayan (base 20)
- 𝋳·𝋳·𝋳·𝋤
- Chinese
- 一十五萬九千九百八十四
- Chinese (financial)
- 壹拾伍萬玖仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 159984, here are decompositions:
- 5 + 159979 = 159984
- 7 + 159977 = 159984
- 47 + 159937 = 159984
- 53 + 159931 = 159984
- 73 + 159911 = 159984
- 113 + 159871 = 159984
- 127 + 159857 = 159984
- 131 + 159853 = 159984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A7 83 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.112.240.
- Address
- 0.2.112.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.112.240
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 159,984 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 159984 first appears in π at position 755,646 of the decimal expansion (the 755,646ordinal-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°.