106,972
106,972 is a composite number, even.
106,972 (one hundred six thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 569. Written other ways, in hexadecimal, 0x1A1DC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 279,601
- Recamán's sequence
- a(81,999) = 106,972
- Square (n²)
- 11,443,008,784
- Cube (n³)
- 1,224,081,535,642,048
- Divisor count
- 12
- σ(n) — sum of divisors
- 191,520
- φ(n) — Euler's totient
- 52,256
- Sum of prime factors
- 620
Primality
Prime factorization: 2 2 × 47 × 569
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,972 = [327; (15, 4, 1, 2, 1, 8, 2, 1, 6, 1, 5, 4, 9, 1, 1, 10, 5, 17, 1, 37, 1, 1, 7, 81, …)]
Representations
- In words
- one hundred six thousand nine hundred seventy-two
- Ordinal
- 106972nd
- Binary
- 11010000111011100
- Octal
- 320734
- Hexadecimal
- 0x1A1DC
- Base64
- AaHc
- One's complement
- 4,294,860,323 (32-bit)
- Scientific notation
- 1.06972 × 10⁵
- As a duration
- 106,972 s = 1 day, 5 hours, 42 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡοβʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋨·𝋬
- Chinese
- 十萬六千九百七十二
- Chinese (financial)
- 壹拾萬陸仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106972, here are decompositions:
- 11 + 106961 = 106972
- 23 + 106949 = 106972
- 101 + 106871 = 106972
- 113 + 106859 = 106972
- 149 + 106823 = 106972
- 191 + 106781 = 106972
- 233 + 106739 = 106972
- 251 + 106721 = 106972
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.220.
- Address
- 0.1.161.220
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.220
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 106,972 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 106972 first appears in π at position 631,040 of the decimal expansion (the 631,040ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.