101,808
101,808 is a composite number, even.
101,808 (one hundred one thousand eight hundred eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 101. Its proper divisors sum to 227,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18DB0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 808,101
- Flips to (rotate 180°)
- 808,101
- Square (n²)
- 10,364,868,864
- Cube (n³)
- 1,055,226,569,306,112
- Divisor count
- 60
- σ(n) — sum of divisors
- 328,848
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 122
Primality
Prime factorization: 2 4 × 3 2 × 7 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,808 = [319; (13, 1, 1, 2, 1, 3, 1, 2, 1, 1, 13, 638)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand eight hundred eight
- Ordinal
- 101808th
- Binary
- 11000110110110000
- Octal
- 306660
- Hexadecimal
- 0x18DB0
- Base64
- AY2w
- One's complement
- 4,294,865,487 (32-bit)
- Scientific notation
- 1.01808 × 10⁵
- As a duration
- 101,808 s = 1 day, 4 hours, 16 minutes, 48 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ραωηʹ
- Mayan (base 20)
- 𝋬·𝋮·𝋪·𝋨
- Chinese
- 一十萬一千八百零八
- Chinese (financial)
- 壹拾萬壹仟捌佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101808, here are decompositions:
- 11 + 101797 = 101808
- 19 + 101789 = 101808
- 37 + 101771 = 101808
- 59 + 101749 = 101808
- 61 + 101747 = 101808
- 67 + 101741 = 101808
- 71 + 101737 = 101808
- 89 + 101719 = 101808
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.176.
- Address
- 0.1.141.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.141.176
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 101,808 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 101808 first appears in π at position 480,792 of the decimal expansion (the 480,792ordinal-suffix:nd 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°.