100,984
100,984 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 489,001
- Square (n²)
- 10,197,768,256
- Cube (n³)
- 1,029,811,429,563,904
- Divisor count
- 16
- σ(n) — sum of divisors
- 204,120
- φ(n) — Euler's totient
- 46,560
- Sum of prime factors
- 990
Primality
Prime factorization: 2 3 × 13 × 971
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,984 = [317; (1, 3, 1, 1, 5, 1, 1, 3, 1, 634)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thousand nine hundred eighty-four
- Ordinal
- 100984th
- Binary
- 11000101001111000
- Octal
- 305170
- Hexadecimal
- 0x18A78
- Base64
- AYp4
- One's complement
- 4,294,866,311 (32-bit)
- Scientific notation
- 1.00984 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϡπδʹ
- Mayan (base 20)
- 𝋬·𝋬·𝋩·𝋤
- Chinese
- 一十萬零九百八十四
- Chinese (financial)
- 壹拾萬零玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100984, here are decompositions:
- 3 + 100981 = 100984
- 41 + 100943 = 100984
- 47 + 100937 = 100984
- 53 + 100931 = 100984
- 71 + 100913 = 100984
- 131 + 100853 = 100984
- 137 + 100847 = 100984
- 173 + 100811 = 100984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 A9 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.120.
- Address
- 0.1.138.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.138.120
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 100,984 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.