53,984
53,984 is a composite number, even.
53,984 (fifty-three thousand nine hundred eighty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 241. Its proper divisors sum to 67,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD2E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 29
- Digit product
- 4,320
- Digital root
- 2
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 48,935
- Recamán's sequence
- a(293,484) = 53,984
- Square (n²)
- 2,914,272,256
- Cube (n³)
- 157,324,073,467,904
- Divisor count
- 24
- σ(n) — sum of divisors
- 121,968
- φ(n) — Euler's totient
- 23,040
- Sum of prime factors
- 258
Primality
Prime factorization: 2 5 × 7 × 241
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√53,984 = [232; (2, 1, 9, 4, 1, 1, 5, 3, 1, 13, 1, 3, 5, 1, 1, 4, 9, 1, 2, 464)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- fifty-three thousand nine hundred eighty-four
- Ordinal
- 53984th
- Binary
- 1101001011100000
- Octal
- 151340
- Hexadecimal
- 0xD2E0
- Base64
- 0uA=
- One's complement
- 11,551 (16-bit)
- Scientific notation
- 5.3984 × 10⁴
- As a duration
- 53,984 s = 14 hours, 59 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵νγϡπδʹ
- Mayan (base 20)
- 𝋦·𝋮·𝋳·𝋤
- Chinese
- 五萬三千九百八十四
- Chinese (financial)
- 伍萬參仟玖佰捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 53,984 = 1
- e — Euler's number (e)
- Digit 53,984 = 3
- φ — Golden ratio (φ)
- Digit 53,984 = 7
- √2 — Pythagoras's (√2)
- Digit 53,984 = 8
- ln 2 — Natural log of 2
- Digit 53,984 = 4
- γ — Euler-Mascheroni (γ)
- Digit 53,984 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53984, here are decompositions:
- 61 + 53923 = 53984
- 67 + 53917 = 53984
- 97 + 53887 = 53984
- 103 + 53881 = 53984
- 127 + 53857 = 53984
- 193 + 53791 = 53984
- 211 + 53773 = 53984
- 331 + 53653 = 53984
Showing the first eight; more decompositions exist.
UTF-8 encoding: ED 8B A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.224.
- Address
- 0.0.210.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.210.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 53984 first appears in π at position 6,483 of the decimal expansion (the 6,483ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.