55,680
55,680 is a composite number, even.
55,680 (fifty-five thousand six hundred eighty) is an even 5-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 29. Its proper divisors sum to 127,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD980.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 8,655
- Recamán's sequence
- a(292,460) = 55,680
- Square (n²)
- 3,100,262,400
- Cube (n³)
- 172,622,610,432,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 183,600
- φ(n) — Euler's totient
- 14,336
- Sum of prime factors
- 51
Primality
Prime factorization: 2 7 × 3 × 5 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√55,680 = [235; (1, 28, 2, 117, 2, 28, 1, 470)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- fifty-five thousand six hundred eighty
- Ordinal
- 55680th
- Binary
- 1101100110000000
- Octal
- 154600
- Hexadecimal
- 0xD980
- Base64
- 2YA=
- One's complement
- 9,855 (16-bit)
- Scientific notation
- 5.568 × 10⁴
- As a duration
- 55,680 s = 15 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵νεχπʹ
- Mayan (base 20)
- 𝋦·𝋳·𝋤·𝋠
- Chinese
- 五萬五千六百八十
- Chinese (financial)
- 伍萬伍仟陸佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 55,680 = 8
- e — Euler's number (e)
- Digit 55,680 = 3
- φ — Golden ratio (φ)
- Digit 55,680 = 0
- √2 — Pythagoras's (√2)
- Digit 55,680 = 9
- ln 2 — Natural log of 2
- Digit 55,680 = 2
- γ — Euler-Mascheroni (γ)
- Digit 55,680 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 55680, here are decompositions:
- 7 + 55673 = 55680
- 13 + 55667 = 55680
- 17 + 55663 = 55680
- 19 + 55661 = 55680
- 41 + 55639 = 55680
- 47 + 55633 = 55680
- 59 + 55621 = 55680
- 61 + 55619 = 55680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.217.128.
- Address
- 0.0.217.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.217.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 55680 first appears in π at position 20,955 of the decimal expansion (the 20,955ordinal-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°.