101,984
101,984 is a composite number, even.
101,984 (one hundred one thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,187. Written other ways, in hexadecimal, 0x18E60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 489,101
- Square (n²)
- 10,400,736,256
- Cube (n³)
- 1,060,708,686,331,904
- Divisor count
- 12
- σ(n) — sum of divisors
- 200,844
- φ(n) — Euler's totient
- 50,976
- Sum of prime factors
- 3,197
Primality
Prime factorization: 2 5 × 3187
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,984 = [319; (2, 1, 6, 3, 1, 1, 1, 2, 3, 3, 1, 2, 3, 2, 6, 3, 2, 8, 1, 24, 1, 1, 1, 8, …)]
Representations
- In words
- one hundred one thousand nine hundred eighty-four
- Ordinal
- 101984th
- Binary
- 11000111001100000
- Octal
- 307140
- Hexadecimal
- 0x18E60
- Base64
- AY5g
- One's complement
- 4,294,865,311 (32-bit)
- Scientific notation
- 1.01984 × 10⁵
- As a duration
- 101,984 s = 1 day, 4 hours, 19 minutes, 44 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ραϡπδʹ
- Mayan (base 20)
- 𝋬·𝋮·𝋳·𝋤
- Chinese
- 一十萬一千九百八十四
- Chinese (financial)
- 壹拾萬壹仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101984, here are decompositions:
- 7 + 101977 = 101984
- 67 + 101917 = 101984
- 151 + 101833 = 101984
- 283 + 101701 = 101984
- 331 + 101653 = 101984
- 373 + 101611 = 101984
- 457 + 101527 = 101984
- 601 + 101383 = 101984
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.96.
- Address
- 0.1.142.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.142.96
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 101,984 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 101984 first appears in π at position 408,545 of the decimal expansion (the 408,545ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.