106,964
106,964 is a composite number, even.
106,964 (one hundred six thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 11² × 13 × 17. Its proper divisors sum to 127,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1D4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 469,601
- Recamán's sequence
- a(81,983) = 106,964
- Square (n²)
- 11,441,297,296
- Cube (n³)
- 1,223,806,923,969,344
- Divisor count
- 36
- σ(n) — sum of divisors
- 234,612
- φ(n) — Euler's totient
- 42,240
- Sum of prime factors
- 56
Primality
Prime factorization: 2 2 × 11 2 × 13 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,964 = [327; (18, 1, 2, 5, 15, 40, 1, 4, 2, 3, 12, 3, 2, 4, 1, 40, 15, 5, 2, 1, 18, 654)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred sixty-four
- Ordinal
- 106964th
- Binary
- 11010000111010100
- Octal
- 320724
- Hexadecimal
- 0x1A1D4
- Base64
- AaHU
- One's complement
- 4,294,860,331 (32-bit)
- Scientific notation
- 1.06964 × 10⁵
- As a duration
- 106,964 s = 1 day, 5 hours, 42 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡξδʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋨·𝋤
- Chinese
- 十萬六千九百六十四
- Chinese (financial)
- 壹拾萬陸仟玖佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106964, here are decompositions:
- 3 + 106961 = 106964
- 7 + 106957 = 106964
- 43 + 106921 = 106964
- 61 + 106903 = 106964
- 97 + 106867 = 106964
- 103 + 106861 = 106964
- 163 + 106801 = 106964
- 181 + 106783 = 106964
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.212.
- Address
- 0.1.161.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.212
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 106,964 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 106964 first appears in π at position 759,057 of the decimal expansion (the 759,057ordinal-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.