521,664
521,664 is a composite number, even.
521,664 (five hundred twenty-one thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 11 × 13 × 19. Its proper divisors sum to 1,185,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F5C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 1,440
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 466,125
- Square (n²)
- 272,133,328,896
- Cube (n³)
- 141,962,160,885,202,944
- Divisor count
- 112
- σ(n) — sum of divisors
- 1,706,880
- φ(n) — Euler's totient
- 138,240
- Sum of prime factors
- 58
Primality
Prime factorization: 2 6 × 3 × 11 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√521,664 = [722; (3, 1, 4, 57, 1, 1, 3, 22, 3, 1, 1, 57, 4, 1, 3, 1444)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-one thousand six hundred sixty-four
- Ordinal
- 521664th
- Binary
- 1111111010111000000
- Octal
- 1772700
- Hexadecimal
- 0x7F5C0
- Base64
- B/XA
- One's complement
- 4,294,445,631 (32-bit)
- Scientific notation
- 5.21664 × 10⁵
- As a duration
- 521,664 s = 6 days, 54 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φκαχξδʹ
- Chinese
- 五十二萬一千六百六十四
- Chinese (financial)
- 伍拾貳萬壹仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521664, here are decompositions:
- 5 + 521659 = 521664
- 7 + 521657 = 521664
- 23 + 521641 = 521664
- 61 + 521603 = 521664
- 83 + 521581 = 521664
- 97 + 521567 = 521664
- 107 + 521557 = 521664
- 113 + 521551 = 521664
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.245.192.
- Address
- 0.7.245.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.245.192
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 521,664 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 521664 first appears in π at position 624,571 of the decimal expansion (the 624,571ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.