523,320
523,320 is a composite number, even.
523,320 (five hundred twenty-three thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 7² × 89. Its proper divisors sum to 1,323,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7FC38.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,325
- Square (n²)
- 273,863,822,400
- Cube (n³)
- 143,318,415,538,368,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,846,800
- φ(n) — Euler's totient
- 118,272
- Sum of prime factors
- 117
Primality
Prime factorization: 2 3 × 3 × 5 × 7 2 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√523,320 = [723; (2, 2, 4, 3, 1, 28, 1, 3, 4, 2, 2, 1446)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-three thousand three hundred twenty
- Ordinal
- 523320th
- Binary
- 1111111110000111000
- Octal
- 1776070
- Hexadecimal
- 0x7FC38
- Base64
- B/w4
- One's complement
- 4,294,443,975 (32-bit)
- Scientific notation
- 5.2332 × 10⁵
- As a duration
- 523,320 s = 6 days, 1 hour, 22 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵φκγτκʹ
- Chinese
- 五十二萬三千三百二十
- Chinese (financial)
- 伍拾貳萬參仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 523320, here are decompositions:
- 13 + 523307 = 523320
- 23 + 523297 = 523320
- 59 + 523261 = 523320
- 101 + 523219 = 523320
- 107 + 523213 = 523320
- 113 + 523207 = 523320
- 151 + 523169 = 523320
- 191 + 523129 = 523320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.252.56.
- Address
- 0.7.252.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.252.56
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 523,320 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 523320 first appears in π at position 933,219 of the decimal expansion (the 933,219ordinal-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°.