521,220
521,220 is a composite number, even.
521,220 (five hundred twenty-one thousand two hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 17 × 73. Its proper divisors sum to 1,268,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F404.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 22,125
- Square (n²)
- 271,670,288,400
- Cube (n³)
- 141,599,987,719,848,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,790,208
- φ(n) — Euler's totient
- 110,592
- Sum of prime factors
- 109
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 17 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√521,220 = [721; (1, 21, 1, 1, 3, 1, 1, 5, 12, 1, 4, 1, 4, 1, 4, 1, 12, 5, 1, 1, 3, 1, 1, 21, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-one thousand two hundred twenty
- Ordinal
- 521220th
- Binary
- 1111111010000000100
- Octal
- 1772004
- Hexadecimal
- 0x7F404
- Base64
- B/QE
- One's complement
- 4,294,446,075 (32-bit)
- Scientific notation
- 5.2122 × 10⁵
- As a duration
- 521,220 s = 6 days, 47 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φκασκʹ
- Chinese
- 五十二萬一千二百二十
- Chinese (financial)
- 伍拾貳萬壹仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521220, here are decompositions:
- 19 + 521201 = 521220
- 41 + 521179 = 521220
- 43 + 521177 = 521220
- 47 + 521173 = 521220
- 53 + 521167 = 521220
- 59 + 521161 = 521220
- 67 + 521153 = 521220
- 83 + 521137 = 521220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.4.
- Address
- 0.7.244.4
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.244.4
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 521,220 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 521220 first appears in π at position 783,708 of the decimal expansion (the 783,708ordinal-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°.