521,424
521,424 is a composite number, even.
521,424 (five hundred twenty-one thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 17 × 71. Its proper divisors sum to 1,085,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F4D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 320
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 424,125
- Square (n²)
- 271,882,987,776
- Cube (n³)
- 141,766,315,018,113,024
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,607,040
- φ(n) — Euler's totient
- 161,280
- Sum of prime factors
- 105
Primality
Prime factorization: 2 4 × 3 3 × 17 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√521,424 = [722; (10, 3, 5, 1, 2, 1, 1, 2, 1, 21, 1, 5, 2, 6, 5, 6, 2, 5, 1, 21, 1, 2, 1, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-one thousand four hundred twenty-four
- Ordinal
- 521424th
- Binary
- 1111111010011010000
- Octal
- 1772320
- Hexadecimal
- 0x7F4D0
- Base64
- B/TQ
- One's complement
- 4,294,445,871 (32-bit)
- Scientific notation
- 5.21424 × 10⁵
- As a duration
- 521,424 s = 6 days, 50 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φκαυκδʹ
- Chinese
- 五十二萬一千四百二十四
- Chinese (financial)
- 伍拾貳萬壹仟肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521424, here are decompositions:
- 23 + 521401 = 521424
- 31 + 521393 = 521424
- 47 + 521377 = 521424
- 61 + 521363 = 521424
- 67 + 521357 = 521424
- 107 + 521317 = 521424
- 157 + 521267 = 521424
- 173 + 521251 = 521424
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.208.
- Address
- 0.7.244.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.244.208
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 521,424 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 521424 first appears in π at position 708,911 of the decimal expansion (the 708,911ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.