106,624
106,624 is a composite number, even.
106,624 (one hundred six thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 7² × 17. Its proper divisors sum to 155,006, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A080.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 426,601
- Recamán's sequence
- a(45,099) = 106,624
- Square (n²)
- 11,368,677,376
- Cube (n³)
- 1,212,173,856,538,624
- Divisor count
- 48
- σ(n) — sum of divisors
- 261,630
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 45
Primality
Prime factorization: 2 7 × 7 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,624 = [326; (1, 1, 7, 163, 7, 1, 1, 652)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand six hundred twenty-four
- Ordinal
- 106624th
- Binary
- 11010000010000000
- Octal
- 320200
- Hexadecimal
- 0x1A080
- Base64
- AaCA
- One's complement
- 4,294,860,671 (32-bit)
- Scientific notation
- 1.06624 × 10⁵
- As a duration
- 106,624 s = 1 day, 5 hours, 37 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛχκδʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋫·𝋤
- Chinese
- 十萬六千六百二十四
- Chinese (financial)
- 壹拾萬陸仟陸佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106624, here are decompositions:
- 3 + 106621 = 106624
- 5 + 106619 = 106624
- 83 + 106541 = 106624
- 137 + 106487 = 106624
- 173 + 106451 = 106624
- 191 + 106433 = 106624
- 197 + 106427 = 106624
- 227 + 106397 = 106624
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.128.
- Address
- 0.1.160.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.128
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 106,624 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 106624 first appears in π at position 430,749 of the decimal expansion (the 430,749ordinal-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.